{"id":5318,"date":"2021-06-04T13:14:28","date_gmt":"2021-06-04T04:14:28","guid":{"rendered":"https:\/\/math-travel.com\/?p=5318"},"modified":"2026-02-11T16:02:14","modified_gmt":"2026-02-11T07:02:14","slug":"quadratic-function","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/","title":{"rendered":"\u3010\u9ad8\u6821\u6570\u5b66\u2160\u30112\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u30fb\u91cd\u8981\u5358\u5143\u307e\u3068\u3081\uff01\u57fa\u790e\u304b\u3089\u5fdc\u7528\u307e\u3067\u5fb9\u5e95\u653b\u7565"},"content":{"rendered":"\n<p class=\"huto\">\u300e2\u6b21\u95a2\u6570\u300f\u306f\u6570\u5b66\u2160\u306b\u304a\u3051\u308b\u91cd\u8981\u306a\u5358\u5143\u306e1\u3064\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u5171\u901a\u30c6\u30b9\u30c8\u3084\u5927\u5b66\u5165\u8a66\u3067\u3082\u4e8c\u6b21\u95a2\u6570\u306f\u3088\u304f\u51fa\u984c\u3055\u308c\u308b\u5358\u5143\u306a\u306e\u3067\u3001\u6587\u7cfb\u30fb\u7406\u7cfb\u306b\u95a2\u308f\u3089\u305a<span class=\"hutoaka\">\u78ba\u5b9f\u306b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\uff01<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"koushiki\">2\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u307e\u3068\u3081<\/h2>\n\n\n\n<p><span class=\"huto\">\u307e\u305a\u306f2\u6b21\u95a2\u6570\u306b\u304a\u3044\u3066\u78ba\u5b9f\u306b\u62bc\u3055\u3048\u305f\u3044<span class=\"hutoaka\">\u201c\u91cd\u8981\u306a\u516c\u5f0f6\u3064\u201d<\/span>\u3092\u30ea\u30b9\u30c8\u30a2\u30c3\u30d7\u3057\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u3092\u5927\u6025\u304e\u3067\u77e5\u308a\u305f\u3044\u65b9\u306f\u3053\u3061\u3089\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<ul class=\"wp-block-list\">\n<li><a href=\"#koushiki1\">2\u6b21\u95a2\u6570\u306e\u57fa\u672c\u516c\u5f0f<\/a><\/li>\n\n\n\n<li><a href=\"#koushiki2\">\u30b0\u30e9\u30d5\u306e\u8ef8\u3068\u76f4\u7dda<\/a><\/li>\n\n\n\n<li><a href=\"#koushiki3\">\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5<\/a><\/li>\n\n\n\n<li><a href=\"#koushiki4\">2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a<\/a><\/li>\n\n\n\n<li><a href=\"#koushiki5\">2\u6b21\u95a2\u6570\u306e\u89e3\u306e\u516c\u5f0f<\/a><\/li>\n\n\n\n<li><a href=\"#koushiki6\">\u5224\u5225\u5f0fD\u3092\u6c42\u3081\u308b\u516c\u5f0f<\/a><\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"koushiki1\">2\u6b21\u95a2\u6570\u306e\u57fa\u672c\u516c\u5f0f<\/h3>\n\n\n\n<p>\\(a\u22600\\)\u306b\u304a\u3044\u3066\u3001\u4e0b\u8a18\u306e\u3088\u3046\u306a\u5f0f\u3092<span class=\"hutoaka\">2\u6b21\u95a2\u6570<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image wp-image-5623\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"461\" height=\"198\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u516c\u5f0f.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u516c\u5f0f\" class=\"wp-image-5623\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u516c\u5f0f.png 461w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u516c\u5f0f-300x129.png 300w\" sizes=\"(max-width: 461px) 100vw, 461px\" \/><figcaption class=\"wp-element-caption\">\u300a2\u6b21\u95a2\u6570\u306e3\u3064\u306e\u5f62\u300b<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u30d9\u30fc\u30b7\u30c3\u30af\u306a\u5f62\u306f1\u756a\u4e0a\u306e\u5f0f\u3067\u3059\u304c\u3001\u4e0a\u8a18\u306f\u3069\u308c\u30822\u6b21\u95a2\u6570\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>2,3\u756a\u76ee\u306e\u5f0f\u3082\u5c55\u958b\u3059\u308b\u30681\u756a\u4e0a\u306e\u3088\u3046\u306a\u5f62\u306b\u306a\u308b\u306e\u3067\u3001\u5fc3\u914d\u306a\u4eba\u306f\u305c\u3072\u5c55\u958b\u3057\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>\u4e0a\u8a18\u306e2\u6b21\u95a2\u6570\u306e\u5f0f\u306f\u3069\u308c\u3082<a href=\"#7\">2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a<\/a>\u3067\u4f7f\u3046\u306e\u3067\u3001\u3069\u306e\u5f62\u3082\u601d\u3044\u51fa\u305b\u308b\u3088\u3046\u306b\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"koushiki2\">\u30b0\u30e9\u30d5\u306e\u8ef8\u3068\u9802\u70b9<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"351\" height=\"205\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b91.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b91\" class=\"wp-image-5500\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b91.png 351w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b91-300x175.png 300w\" sizes=\"(max-width: 351px) 100vw, 351px\" \/><\/figure>\n<\/div>\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u5f62\u304c\u5206\u304b\u308b\u516c\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>2\u6b21\u95a2\u6570\u306e\u8ef8\u30fb\u9802\u70b9<\/span><\/div><div class=\"cap_box_content\">\n<p>2\u6b21\u95a2\u6570 \\(y=a(x-p)^{2}+q\\) \u306b\u304a\u3044\u3066\u3001<\/p>\n\n\n\n<p>\u653e\u7269\u7dda\u306e\u8ef8\uff1a\\(x=p\\)<br>\u9802\u70b9\u306e\u5ea7\u6a19\uff1a\\((p,q)\\)<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"koushiki3\">\u30b0\u30e9\u30d5\u306e\u5e73\u884c\u79fb\u52d5<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"464\" height=\"223\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5\" class=\"wp-image-5520\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5.png 464w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5-300x144.png 300w\" sizes=\"(max-width: 464px) 100vw, 464px\" \/><\/figure>\n<\/div>\n\n\n<p>2\u6b21\u95a2\u6570\u3092\u5e73\u884c\u79fb\u52d5\u3055\u305b\u308b\u554f\u984c\u306f\u3053\u306e\u516c\u5f0f\u3067\u89e3\u6c7a\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5e73\u884c\u79fb\u52d5\u306e\u516c\u5f0f<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(y=ax^{2}\\) \u306e\u30b0\u30e9\u30d5\u3092 \\(x\\)\u8ef8\u65b9\u5411\u306b\\(p\\)\u3001\\(y\\)\u8ef8\u65b9\u5411\u306b\\(q\\)\u3060\u3051\u5e73\u884c\u79fb\u52d5\u3055\u305b\u305f\u3082\u306e\u306f<\/p>\n\n\n\n<p>\\[y=a(x-p)^{2}+q\\]<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"koushiki4\">2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a<\/h3>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f<span class=\"hutoaka\">\u5927\u304d\u304f3\u3064\u306e\u578b<\/span>\u306b\u5206\u3051\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"768\" height=\"294\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b.png\" alt=\"\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b\" class=\"wp-image-5593\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b.png 768w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b-300x115.png 300w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n<\/div>\n\n\n<p>\u554f\u984c\u6587\u3067\u4e0e\u3048\u3089\u308c\u305f\u6761\u4ef6\u304b\u3089\u4e0a\u8a18\u306e\u3069\u306e\u578b\u3092\u4f7f\u3046\u306e\u304b\u5224\u65ad\u3057\u30012\u6b21\u95a2\u6570\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a<\/span><\/div><div class=\"cap_box_content\">\n<ul class=\"wp-block-list\">\n<li>\u554f\u984c\u6587\u3067\u300c\u9802\u70b9\u306e\u5ea7\u6a19\u300d\u3082\u3057\u304f\u306f\u300c\u8ef8\u306ex\u5ea7\u6a19\u300d\u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\n<ul class=\"wp-block-list\">\n<li>\\(y=a(x-p)^{2}+q\\)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u554f\u984c\u6587\u30673\u70b9\u306e\u5ea7\u6a19\u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\n<ul class=\"wp-block-list\">\n<li>\\(y=a^{2}+bx+c\\)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u554f\u984c\u6587\u3067x\u8ef8\u3068\u306e\u4ea4\u70b9\u304c2\u3064\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\n<ul class=\"wp-block-list\">\n<li>\\(y=a(x-p)(x-q)\\)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"koushiki5\">2\u6b21\u95a2\u6570\u306e\u89e3\u306e\u516c\u5f0f<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"356\" height=\"123\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u89e3\u306e\u516c\u5f0f.png\" alt=\"\u89e3\u306e\u516c\u5f0f\" class=\"wp-image-5580\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u89e3\u306e\u516c\u5f0f.png 356w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u89e3\u306e\u516c\u5f0f-300x104.png 300w\" sizes=\"(max-width: 356px) 100vw, 356px\" \/><\/figure>\n<\/div>\n\n\n<p><br>2\u6b21\u65b9\u7a0b\u5f0f \\(ax^{2}+bx+c=0\\)\\((a\u22600)\\) \u306b\u304a\u3044\u3066\u3001\u89e3\u306e\u516c\u5f0f\u3092\u4f7f\u3046\u3068\u65b9\u7a0b\u5f0f\u306e\u89e3\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"koushiki6\">\u5224\u5225\u5f0fD\u3092\u6c42\u3081\u308b\u516c\u5f0f<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"542\" height=\"162\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5224\u5225\u5f0f\u306e\u516c\u5f0f-1.png\" alt=\"\u5224\u5225\u5f0f\u306e\u516c\u5f0f\" class=\"wp-image-7231\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5224\u5225\u5f0f\u306e\u516c\u5f0f-1.png 542w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5224\u5225\u5f0f\u306e\u516c\u5f0f-1-300x90.png 300w\" sizes=\"(max-width: 542px) 100vw, 542px\" \/><\/figure>\n<\/div>\n\n\n<p><br>\u5224\u5225\u5f0fD\u306e\u7b26\u53f7\u306b\u3088\u3063\u3066\u30012\u6b21\u65b9\u7a0b\u5f0f\u306e\u5b9f\u6570\u89e3\u304c\u3044\u304f\u3064\u3042\u308b\u306e\u304b\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5224\u5225\u5f0f\u306e\u516c\u5f0f<\/span><\/div><div class=\"cap_box_content\">\n<p>2\u6b21\u65b9\u7a0b\u5f0f \\(ax^{2}+bx+c=0\\) \u306e\u5224\u5225\u5f0f<\/p>\n\n\n\n<p>\\[D=b^{2}-4ac\\]<\/p>\n<\/div><\/div>\n\n\n\n<p><span class=\"huto\">\u4e0a\u3067\u7d39\u4ecb\u3057\u305f\u516c\u5f0f\u306f\u3069\u308c\u30822\u6b21\u95a2\u6570\u306b\u6b20\u304b\u305b\u306a\u3044\u91cd\u8981\u306a\u516c\u5f0f\u3067\u3059\u3002<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2\">2\u6b21\u95a2\u6570\u3068\u306f\u6b21\u65702\u306e\u95a2\u6570<\/h2>\n\n\n\n<p>2\u6b21\u95a2\u6570\u3092\u4e00\u8a00\u3067\u8a00\u3046\u3068\u3001\u300c\u5909\u6570\u306e\u6b21\u6570\uff08\u53f3\u80a9\u306b\u4e57\u3063\u3066\u3044\u308b\u6570\u5b57\uff09\u304c\u6700\u5927\u30672\u3067\u3042\u308b\u95a2\u6570\u300d\u306e\u3053\u3068\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"393\" height=\"141\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570.png\" alt=\"2\u6b21\u95a2\u6570\" class=\"wp-image-5581\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570.png 393w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570-300x108.png 300w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/><\/figure>\n<\/div>\n\n\n<p>1\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u304c\u76f4\u7dda\u3060\u3063\u305f\u306e\u306b\u5bfe\u3057\u3066\u3001<span class=\"yellow-hoso\">2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306f<span class=\"hutoaka\">\u653e\u7269\u7dda<\/span>\u3068\u3044\u3046\u6ed1\u3089\u304b\u306a\u66f2\u7dda\u3092\u63cf\u304d\u307e\u3059\u3002<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"354\" height=\"226\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5-1.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\" class=\"wp-image-5470\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5-1.png 354w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5-1-300x192.png 300w\" sizes=\"(max-width: 354px) 100vw, 354px\" \/><figcaption class=\"wp-element-caption\">2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5<\/figcaption><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u305d\u3082\u305d\u3082\u95a2\u6570\u3068\u306f\uff1f<\/p>\n\n\n\n<p>(x)\u306e\u5024\u30921\u3064\u6c7a\u3081\u305f\u3068\u304d\u3001\u305d\u308c\u306b\u4f34\u3063\u3066(y)\u306e\u5024\u30821\u3064\u306b\u6c7a\u307e\u308b\u6570\u5f0f\u306e\u3053\u3068\u3002<\/p>\n\n\n\n<p>1\u6b21\u95a2\u6570 \\(y=2x , y=-3x+2\\)<\/p>\n\n\n\n<p>2\u6b21\u95a2\u6570 \\(y=3x^{2}+2x+1\\)<\/p>\n\n\n\n<p>3\u6b21\u95a2\u6570 \\(y=ax^{3}+bx^{2}+cx+d\\)<\/p>\n\n\n\n<p>4\u6b21\u95a2\u6570 \\(y=ax^{4}+bx^{3}+cx^{2}+dx+e\\)<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3\">2\u6b21\u95a2\u6570\u306e\u9802\u70b9\u3068\u8ef8<\/h2>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\uff08\u653e\u7269\u7dda\uff09\u306b\u304a\u3044\u3066\u3001\u300c\u9802\u70b9\u300d\u3068\u300c\u8ef8\u300d\u306f\u30b0\u30e9\u30d5\u306e\u5834\u6240\u3084\u5f62\u3092\u6c7a\u5b9a\u3059\u308b\u6700\u3082\u91cd\u8981\u306a\u8981\u7d20\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u81ea\u5206\u3067\u5e73\u65b9\u5b8c\u6210\u3092\u3057\u3066 \\(y=a(x-p)^{2}+q\\) \u306e\u5f62\u306b\u3057\u3066\u3001\u8ef8\u3068\u9802\u70b9\u3092\u6c42\u3081\u308b\u554f\u984c\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"351\" height=\"205\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b91.png\" alt=\"\" class=\"wp-image-5500\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b91.png 351w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b91-300x175.png 300w\" sizes=\"(max-width: 351px) 100vw, 351px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>2\u6b21\u95a2\u6570\u306e\u8ef8\u30fb\u9802\u70b9<\/span><\/div><div class=\"cap_box_content\">\n<p>2\u6b21\u95a2\u6570 \\(y=a(x-p)^{2}+q\\) \u306b\u304a\u3044\u3066\u3001<\/p>\n\n\n\n<p>\u653e\u7269\u7dda\u306e\u8ef8\uff1a\\(x=p\\)<br>\u9802\u70b9\u306e\u5ea7\u6a19\uff1a\\((p,q)\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u5e73\u65b9\u5b8c\u6210\u3092\u4f7f\u3063\u30662\u6b21\u95a2\u6570\u306e\u9802\u70b9\u30fb\u8ef8\u3092\u6c42\u3081\u308b\u624b\u9806\u306b\u3064\u3044\u3066\u306f\u5225\u30da\u30fc\u30b8\u3067\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5e73\u65b9\u5b8c\u6210\u3057\u3066\u9802\u70b9\u3068\u8ef8\u3092\u6c42\u3081\u308b<\/h3>\n\n\n\n<p>\u81ea\u5206\u3067\u5e73\u65b9\u5b8c\u6210\u3059\u308b\u5834\u5408\u306f\u4ee5\u4e0b\u306e\u624b\u9806\u3067\u9032\u3081\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>2\u6b21\u95a2\u6570\u304c<span class=\"huto\">\u4ee5\u4e0b\u306e\u5f62\u306b\u306a\u308c\u3070\u8ef8\u3068\u9802\u70b9\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\\[y=a(x-p)^{2}+q\\]<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u3010\u88dc\u8db3\u3011\u5e73\u65b9\u5b8c\u6210\u3068\u306f\uff1f<\/p>\n\n\n\n<p>\\(ax^{2}+bx+c\\) \u306e\u5f62\u306e2\u6b21\u5f0f\u3092 \\(a(x\u2212p)^{2}+q\\) \u306e\u5f62\u3078\u5909\u5f62\u3059\u308b\u3053\u3068\u3092\u5e73\u65b9\u5b8c\u6210\u3068\u8a00\u3044\u307e\u3059\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>2\u6b21\u95a2\u6570 \\(x^{2}+6x+5\\) \u3092\u4f8b\u3068\u3057\u3066\u3001\u8ef8\u3068\u9802\u70b9\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>x^{2}+6x+5&amp;=&amp;(x^{2}+6x+9)-9+5\\\\<br>&amp;=&amp;(x+3)^{2}-4<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u4e0e\u5f0f\u3092\\((x+3)^{2}-4\\)\u306b\u5909\u5f62\u3067\u304d\u305f\u306e\u3067\u3001\u30b0\u30e9\u30d5\u306e\u8ef8\u3068\u9802\u70b9\u3092\u8aad\u307f\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u653e\u7269\u7dda\u306e\u8ef8\uff1a\\(x=-3\\)<br>\u9802\u70b9\u306e\u5ea7\u6a19\uff1a\\((-3,-4)\\)<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u5e73\u65b9\u5b8c\u6210\u3092\u7528\u3044\u3066\u30012\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u9802\u70b9\u3068\u8ef8\u3092\u6c42\u3081\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4\">2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9<\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"373\" height=\"260\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u7df4\u7fd2\u554f\u984c1-3.png\" alt=\"\u7df4\u7fd2\u554f\u984c1-3\" class=\"wp-image-5466\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u7df4\u7fd2\u554f\u984c1-3.png 373w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u7df4\u7fd2\u554f\u984c1-3-300x209.png 300w\" sizes=\"(max-width: 373px) 100vw, 373px\" \/><\/figure>\n<\/div>\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306f<span class=\"huto\">\u4ee5\u4e0b\u306e3\u30b9\u30c6\u30c3\u30d7<\/span>\u3067\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u30b0\u30e9\u30d5\u3092\u66f8\u304f\u624b\u9806<\/span><\/div><div class=\"cap_box_content\">\n<p>Step1\uff1a\u9802\u70b9\u3092\u6c42\u3081\u308b<br>Step2\uff1ay\u8ef8\u3068\u306e\u4ea4\u70b9\u3092\u6c42\u3081\u308b<br>Step3\uff1a\u9802\u70b9\u3068y\u8ef8\u3068\u306e\u4ea4\u70b9\u3092\u6ed1\u3089\u304b\u306b\u3064\u306a\u3050<\/p>\n<\/div><\/div>\n\n\n\n<p>\\(y=x^{2}+6x+5\\)\u3092\u4f8b\u306b\u3057\u3066\u30b0\u30e9\u30d5\u3092\u66f8\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-step\" data-num-style=\"circle\">\n<div class=\"swell-block-step__item\"><div class=\"swell-block-step__number u-bg-main\"><span class=\"__label\">STEP<\/span><\/div><div class=\"swell-block-step__title u-fz-l\">\u30b0\u30e9\u30d5\u306e\u9802\u70b9\u3092\u6c42\u3081\u308b<\/div><div class=\"swell-block-step__body\">\n<p>\u521d\u3081\u306b2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u9802\u70b9\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\u9802\u70b9\u306e\u5ea7\u6a19\u306f\u30012\u6b21\u95a2\u6570\u306e\u5f0f\u3092\u5e73\u65b9\u5b8c\u6210\u3059\u308b\u3053\u3068\u3067\u6c42\u3081\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4f8b\u3068\u3057\u3066\u3001\\(y=x^{2}+6x+5\\)\u3092\u5e73\u65b9\u5b8c\u6210\u3059\u308b\u3068<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;x^{2}+6x+5\\\\<br>&amp;=&amp;(x+3)^{2}-4<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\\(y=x^{2}+6x+5\\)\u306e\u9802\u70b9\u306f \\(-3,-4\\) \u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"501\" height=\"341\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9\" class=\"wp-image-5460\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9.png 501w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9-300x204.png 300w\" sizes=\"(max-width: 501px) 100vw, 501px\" \/><\/figure>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"swell-block-step__item\"><div class=\"swell-block-step__number u-bg-main\"><span class=\"__label\">STEP<\/span><\/div><div class=\"swell-block-step__title u-fz-l\">y\u8ef8\u3068\u306e\u4ea4\u70b9\u3092\u6c42\u3081\u308b<\/div><div class=\"swell-block-step__body\">\n<p>\u9802\u70b9\u306e\u5ea7\u6a19\u304c\u5206\u304b\u3063\u305f\u3060\u3051\u3067\u306f\u30b0\u30e9\u30d5\u306f\u66f8\u3051\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>\u6b21\u306f\u30b0\u30e9\u30d5\u3068y\u8ef8\u3068\u306e\u4ea4\u70b9\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>y\u8ef8\u4e0a\u306e\u70b9\u3068\u3044\u3046\u3053\u3068\u306f\u3001x\u5ea7\u6a19\u304c0\u3067\u3042\u308b\u306e\u3067\u5f0f\u306b \\(x=0\\) \u3092\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\(y=x^{2}+6x+5\\)\u306b\\(x=0\\)\u3092\u4ee3\u5165\u3059\u308b\u3068<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;0^{2}+6 \\cdot 0+5\\\\<br>&amp;=&amp;5<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\\(y=x^{2}+6x+5\\) \u306e\u30b0\u30e9\u30d5\u306f\\((0,5)\\)\u3067y\u8ef8\u3068\u4ea4\u308f\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"swell-block-step__item\"><div class=\"swell-block-step__number u-bg-main\"><span class=\"__label\">STEP<\/span><\/div><div class=\"swell-block-step__title u-fz-l\">\u9802\u70b9\u3068y\u8ef8\u306e\u4ea4\u70b9\u3092\u6ed1\u3089\u304b\u306b\u3064\u306a\u3050<\/div><div class=\"swell-block-step__body\">\n<p>\u6700\u5f8c\u306b\u9802\u70b9\u3068y\u8ef8\u3068\u306e\u4ea4\u70b9\u3092\u6ed1\u3089\u304b\u306b\u3064\u306a\u304e\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\(y=x^{2}+6x+5\\)\u306e\u9802\u70b9\u306f\\((-3,-4)\\)\u3001y\u8ef8\u3068\u306e\u4ea4\u70b9\u306f\\((0,5)\\)\u3067\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3053\u306e2\u70b9\u3092\u6ed1\u3089\u304b\u306b\u3064\u306a\u304e\u3001\u5de6\u53f3\u5bfe\u79f0\u306b\u63cf\u304f\u30682\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u304c\u5b8c\u6210\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"375\" height=\"266\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b93.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9\" class=\"wp-image-5463\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b93.png 375w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b93-300x213.png 300w\" sizes=\"(max-width: 375px) 100vw, 375px\" \/><\/figure>\n<\/div>\n\n\n<p>\u4e0a\u8a18\u306e3\u30b9\u30c6\u30c3\u30d7\u3092\u4e01\u5be7\u306b\u9032\u3081\u308c\u3070\u3001\u8ab0\u3067\u30822\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u304c\u66f8\u3051\u307e\u3059\u3002<\/p>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u30b0\u30e9\u30d5\u3092\u66f8\u304f\u624b\u9806<\/span><\/div><div class=\"cap_box_content\">\n<p>Step1\uff1a\u9802\u70b9\u3092\u6c42\u3081\u308b<br>Step2\uff1ay\u8ef8\u3068\u306e\u4ea4\u70b9\u3092\u6c42\u3081\u308b<br>Step3\uff1a\u9802\u70b9\u3068y\u8ef8\u3068\u306e\u4ea4\u70b9\u3092\u6ed1\u3089\u304b\u306b\u3064\u306a\u3050<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5\">2\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5<\/h2>\n\n\n\n<p>\u30b0\u30e9\u30d5\u306e\u5f62\u3092\u5909\u3048\u306a\u3044\u307e\u307e\u3001\u5e73\u884c\u306b\u79fb\u52d5\u3055\u305b\u308b\u3053\u3068\u3092<span class=\"hutoaka\">\u5e73\u884c\u79fb\u52d5<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"464\" height=\"223\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5\" class=\"wp-image-5520\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5.png 464w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5-300x144.png 300w\" sizes=\"(max-width: 464px) 100vw, 464px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u306e\u3068\u304d\u3001\u653e\u7269\u7dda\u306e\u5f62\u306f\u5909\u308f\u308a\u307e\u305b\u3093\u304c\u3001\u9802\u70b9\u3084\u8ef8\u306e\u4f4d\u7f6e\u304c\u79fb\u52d5\u3057\u3066\u3044\u308b\u305f\u3081\u30012\u6b21\u95a2\u6570\u306e\u5f0f\u306f\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5e73\u884c\u79fb\u52d5\u306e\u516c\u5f0f<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(y=ax^{2}\\)\u306e\u30b0\u30e9\u30d5\u3092\\(x\\)\u8ef8\u65b9\u5411\u306b\\(p\\)\u3001\\(y\\)\u8ef8\u65b9\u5411\u306b\\(q\\)\u3060\u3051\u5e73\u884c\u79fb\u52d5\u3055\u305b\u308b\u3068<\/p>\n\n\n\n<p>\\[y=a(x-p)^{2}+q\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\\(y=x^{2}\\)\u3092\\(x\\)\u8ef8\u65b9\u5411\u306b\\(3,y\\)\u8ef8\u65b9\u5411\u306b\\(2\\)\u3060\u3051\u5e73\u884c\u79fb\u52d5\u3055\u305b\u308b\u3068\u3001\\(y=(x-3)^{2}+2\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"443\" height=\"299\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d51-1.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d51\" class=\"wp-image-5536\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d51-1.png 443w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d51-1-300x202.png 300w\" sizes=\"(max-width: 443px) 100vw, 443px\" \/><\/figure>\n<\/div>\n\n\n<p>2\u6b21\u95a2\u6570\\(y=x^{2}+6x+4\\)\u3092\u3001\\(x\\)\u8ef8\u65b9\u5411\u306b\\(-2,y\\)\u8ef8\u65b9\u5411\u306b\\(3\\)\u3060\u3051\u5e73\u884c\u79fb\u52d5\u3055\u305b\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d\u3001\\(y=x^{2}+6x+4\\)\u3092\u5e73\u884c\u79fb\u52d5\u3055\u305b\u308b\u65b9\u6cd5\u306f\uff12\u3064\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<ol class=\"wp-block-list\">\n<li>\u305d\u306e\u307e\u307e\u5e73\u884c\u79fb\u52d5<\/li>\n\n\n\n<li>\u5e73\u65b9\u5b8c\u6210\u3057\u3066\u304b\u3089\u5e73\u884c\u79fb\u52d5<\/li>\n<\/ol>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u65b9\u6cd51.\u305d\u306e\u307e\u307e\u5e73\u884c\u79fb\u52d5<\/h3>\n\n\n\n<p>\\(y=x^{2}+6x+4\\)\u3092\\(x\\)\u8ef8\u65b9\u5411\u306b\\(-2,y\\)\u8ef8\u65b9\u5411\u306b\\(3\\)\u3060\u3051\u5e73\u884c\u79fb\u52d5\u3059\u308b\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;(x+2)^{2}+6(x+2)+4+3\\\\<br>&amp;=&amp;(x^{2}+4x+4)+6(x+2)+7\\\\<br>&amp;=&amp;x^{2}+10x+23<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u306f\\(y=x^{2}+10x+23\\)\u3060\u3068\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u65b9\u6cd52.\u5e73\u65b9\u5b8c\u6210\u3057\u3066\u304b\u3089\u5e73\u884c\u79fb\u52d5<\/h3>\n\n\n\n<p>\u5e73\u65b9\u5b8c\u6210\u3057\u3066\u304b\u3089\u5e73\u884c\u79fb\u52d5\u3059\u308b\u65b9\u6cd5\u3082\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305a\u306f\\(y=x^{2}+6x+4\\)\u3092\u5e73\u65b9\u5b8c\u6210\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;x^{2}+6x+4\\\\<br>&amp;=&amp;(x+3)^{2}-9+4\\\\<br>&amp;=&amp;(x+3)^{2}-5<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u306e\u95a2\u6570\u304c\\(x\\)\u8ef8\u65b9\u5411\u306b\\(-2\\),\\(y\\)\u8ef8\u65b9\u5411\u306b\\(3\\)\u3060\u3051\u5e73\u884c\u79fb\u52d5\u3059\u308b\u306e\u3067<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;(x+3+2)^{2}-5+3\\\\<br>&amp;=&amp;(x+5)^{2}-2\\\\<br>&amp;=&amp;x^{2}+10x+23<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u306f\\(y=x^{2}+10x+23\\)\u3068\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u5e73\u884c\u79fb\u52d5\u3055\u305b\u308b\u516c\u5f0f\u306f\u5225\u8a18\u4e8b\u3067\u89e3\u8aac\u3057\u3066\u3044\u308b\u306e\u3067\u3001\u30b9\u30e0\u30fc\u30ba\u306b\u79fb\u52d5\u3055\u305b\u3089\u308c\u308b\u3088\u3046\u306b\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6\">2\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024<\/h2>\n\n\n\n<p>2\u6b21\u95a2\u6570\u3067\u306f\u3001\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024\u3092\u6c42\u3081\u308b\u554f\u984c\u3082\u3088\u304f\u51fa\u984c\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"372\" height=\"246\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u306a\u3044\u5834\u54082.png\" alt=\"\u7bc4\u56f2\u306e\u306a\u3044\u5834\u54082\" class=\"wp-image-5553\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u306a\u3044\u5834\u54082.png 372w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u306a\u3044\u5834\u54082-300x198.png 300w\" sizes=\"(max-width: 372px) 100vw, 372px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"huto\">2\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u306e\u554f\u984c\u306f\u5927\u304d\u304f4\u3064\u306e\u30bf\u30a4\u30d7\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024\u306e4\u3064\u306e\u30bf\u30a4\u30d7<\/span><\/div><div class=\"cap_box_content\">\n<ul class=\"wp-block-list\">\n<li>\u5b9a\u7fa9\u57df\u304c\u306a\u3044\u5834\u5408<\/li>\n\n\n\n<li>\u5b9a\u7fa9\u57df\u304c\u3042\u308b\u5834\u5408<\/li>\n\n\n\n<li>\u5b9a\u7fa9\u57df\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408<\/li>\n\n\n\n<li>\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024\u306e\u6c42\u3081\u65b9\u306f\u554f\u984c\u306e\u30d1\u30bf\u30fc\u30f3\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u306f\u3056\u3063\u304f\u308a\u3068\u3057\u305f\u89e3\u8aac\u3092\u3057\u307e\u3059\u3002\u8a73\u3057\u304f\u77e5\u308a\u305f\u3044\u65b9\u306f\u300c2\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024\u3092\u6c42\u3081\u308b4\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u300d\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5b9a\u7fa9\u57df\u304c\u306a\u3044\u5834\u5408<\/h3>\n\n\n\n<p>\u5b9a\u7fa9\u57df\uff08\u7bc4\u56f2\uff09\u306e\u306a\u3044\u30d1\u30bf\u30fc\u30f3\u306e\u554f\u984c\u304b\u3089\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5b9a\u7fa9\u57df\u304c\u306a\u3044\u5834\u5408\u3068\u3044\u3046\u306e\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u6b21\u306e2\u6b21\u95a2\u6570\u306b\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u304c\u3042\u308c\u3070\u6c42\u3081\u306a\u3055\u3044\u3002<\/p>\n\n\n\n<p>\\(y=x^{2}-4x+3\\)<\/p>\n\n\n\n<p>\\(y=-2x^{2}-4x\\)<\/p>\n<\/div><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\\(y=x^{2}-4x+3\\)\u306e\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024<\/h4>\n\n\n\n<p>\u307e\u305a\u306f\u95a2\u6570\u3092\u5909\u5f62\u3057\u3066\u3001\u30b0\u30e9\u30d5\u306e\u8ef8\u3068\u9802\u70b9\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;x^{2}-4x+3\\\\<br>&amp;=&amp;(x-2)^{2}-1<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u306e\u95a2\u6570\u3092\u30b0\u30e9\u30d5\u306b\u3059\u308b\u3068\u4e0b\u56f3\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"434\" height=\"262\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u306a\u3044\u5834\u54081.png\" alt=\"\u7bc4\u56f2\u306e\u306a\u3044\u5834\u54081\" class=\"wp-image-5552\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u306a\u3044\u5834\u54081.png 434w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u306a\u3044\u5834\u54081-300x181.png 300w\" sizes=\"(max-width: 434px) 100vw, 434px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3088\u3063\u3066\u3001\u3053\u306e2\u6b21\u95a2\u6570\u306f\\(x=2\\)\u3067\u6700\u5c0f\u5024\\(-1\\)\u3092\u3068\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u30b0\u30e9\u30d5\u306f\u6c38\u9060\u306b\u4e0a\u65b9\u5411\u306b\u4f38\u3073\u3066\u3044\u304f\u305f\u3081\u3001\u3053\u306e\u554f\u984c\u306b\u304a\u3044\u3066\u6700\u5927\u5024\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\\(y=-2x^{2}-4x\\)\u306e\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024<\/h4>\n\n\n\n<p>\u95a2\u6570\u306e\u5f0f\u3092\u5909\u5f62\u3059\u308b\u3068<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;-2x^{2}-4x\\\\<br>&amp;=&amp;-2(x+1)^{2}+2<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u306e\u95a2\u6570\u3092\u30b0\u30e9\u30d5\u306b\u3059\u308b\u3068\u4e0b\u56f3\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"372\" height=\"246\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u306a\u3044\u5834\u54082.png\" alt=\"\u7bc4\u56f2\u306e\u306a\u3044\u5834\u54082\" class=\"wp-image-5553\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u306a\u3044\u5834\u54082.png 372w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u306a\u3044\u5834\u54082-300x198.png 300w\" sizes=\"(max-width: 372px) 100vw, 372px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3088\u3063\u3066\u3001\u3053\u306e2\u6b21\u95a2\u6570\u306f\\(x=-1\\)\u3067\u6700\u5927\u5024\\(2\\)\u3092\u3068\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u30b0\u30e9\u30d5\u306f\u6c38\u9060\u306b\u4e0b\u65b9\u5411\u306b\u4f38\u3073\u3066\u3044\u304f\u306e\u3067\u6700\u5c0f\u5024\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>\u4e0a\u306e2\u554f\u306e\u3088\u3046\u306b\u30b0\u30e9\u30d5\u306b\u5b9a\u7fa9\u57df\u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u306a\u3044\u3068\u304d\u306f\u3001<span class=\"hutoaka\">\u30b0\u30e9\u30d5\u304c\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u3092\u6301\u305f\u306a\u3044\u5834\u5408\u3082\u3042\u308b<\/span>\u306e\u3067\u6ce8\u610f\u3057\u3066\u4e0b\u3055\u3044\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5b9a\u7fa9\u57df\u304c\u3042\u308b\u5834\u5408<\/h3>\n\n\n\n<p>\u5b9a\u7fa9\u57df\u304c\u3042\u308b\u5834\u5408\u306f\u3001\u4ee5\u4e0b\u3088\u3046\u306a\u554f\u984c\u304c\u51fa\u984c\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u6b21\u306e2\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u3092\u6c42\u3081\u306a\u3055\u3044\u3002<\/p>\n\n\n\n<p>\\(y=x^{2}-4x+1 (0\u2266x\u22663)\\)<\/p>\n\n\n\n<p>\\(y=-2x^{2}+4x+5 (-1\u2266x\u22660)\\)<\/p>\n<\/div><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\\(y=x^{2}-4x+1 (0\u2266x\u22663)\\)\u306e\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024<\/h4>\n\n\n\n<p>\u307e\u305a\u306f\u95a2\u6570\u3092\u5909\u5f62\u3057\u3066\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;x^{2}-4x+1\\\\<br>&amp;=&amp;(x-2)^{2}-3<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u3053\u3067\\(0\u2266x\u22663\\)\u306a\u306e\u3067\u3001\u30b0\u30e9\u30d5\u306f\u4e0b\u56f3\u306e\u5b9f\u8df5\u90e8\u5206\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"416\" height=\"262\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u3042\u308b\u5834\u54081.png\" alt=\"\u7bc4\u56f2\u306e\u3042\u308b\u5834\u54081\" class=\"wp-image-5550\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u3042\u308b\u5834\u54081.png 416w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u3042\u308b\u5834\u54081-300x189.png 300w\" sizes=\"(max-width: 416px) 100vw, 416px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u306e\u30b0\u30e9\u30d5\u306e\u5b9f\u8df5\u90e8\u5206\u3067\u6700\u5927\u306a\u306e\u306f\\(x=0\\)\u306e\u3068\u304d\u306e\\(y=1\\)<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u5b9f\u8df5\u90e8\u5206\u3067\u6700\u5c0f\u306a\u306e\u304c\\(x=2\\)\u306e\u3068\u304d\u306e\\(y=-3\\)\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\\(x=0\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\\(-1\\)<br>\\(x=2\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u5024\\(-3\\)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\\(y=-2x^{2}+4x+3 (-1\u2266x\u22660)\\)\u306e\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024<\/h4>\n\n\n\n<p>\u307e\u305a\u306f\u95a2\u6570\u3092\u5909\u5f62\u3057\u3066\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;-2x^{2}+4x+3\\\\<br>&amp;=&amp;-2(x-1)^{2}+5<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u3053\u3067\\(-1\u2266x\u22660\\)\u306a\u306e\u3067\u3001\u30b0\u30e9\u30d5\u306f\u4e0b\u56f3\u306e\u5b9f\u8df5\u90e8\u5206\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"404\" height=\"275\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u3042\u308b\u5834\u54082.png\" alt=\"\u7bc4\u56f2\u306e\u3042\u308b\u5834\u54082\" class=\"wp-image-5551\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u3042\u308b\u5834\u54082.png 404w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306e\u3042\u308b\u5834\u54082-300x204.png 300w\" sizes=\"(max-width: 404px) 100vw, 404px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u306e\u30b0\u30e9\u30d5\u306e\u5b9f\u8df5\u90e8\u5206\u3067\u6700\u5927\u306a\u306e\u306f\\(x=0\\)\u306e\u3068\u304d\u306e\\(y=3\\)<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u5b9f\u8df5\u90e8\u5206\u3067\u6700\u5c0f\u306a\u306e\u304c\\(x=-1\\)\u306e\u3068\u304d\u306e\\(y=-3\\)\u3067\u3059\u3002<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\\(x=0\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\\(3\\)<br>\\(x=-1\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u5024\\(-3\\)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5b9a\u7fa9\u57df\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408<\/h3>\n\n\n\n<p>\u5b9a\u7fa9\u57df\u306b\u6587\u5b57\u3092\u542b\u3080\u3068\u3044\u3046\u306e\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u554f\u984c\u306e\u3053\u3068\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u6b21\u306e2\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u3092\u6c42\u3081\u306a\u3055\u3044\u3002<\/p>\n\n\n\n<p>\\(y=x^{2}-2x+3 (0\u2266x\u2266a)\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u4e00\u3064\u524d\u306e\u5b9a\u7fa9\u57df\u304c\u3042\u308b\u5834\u5408\u3068\u540c\u3058\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u304c\u3001\u3088\u304f\u898b\u308b\u3068\u7bc4\u56f2\u306b\u6587\u5b57\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u5834\u5408\u3001<span class=\"hutoaka\">\\(a\\)\u306e\u5024\u306b\u3088\u3063\u3066\u7bc4\u56f2\u304c\u5909\u5316\u3059\u308b\u305f\u3081\u5834\u5408\u5206\u3051\u304c\u5fc5\u8981\u3067\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u307e\u305a\u306f\u95a2\u6570\u3092\u5909\u5f62\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;x^{2}-2x+3\\\\<br>&amp;=&amp;(x-1)^{2}+2<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u306e\u554f\u984c\u3067\u306f\\(x\\)\u306e\u5b9a\u7fa9\u57df\u304c\\(0\u2266x\u2266a\\)\u3067\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3053\u3053\u3067\\(a\\)\u306e\u5024\u306b\u3088\u3063\u3066\u3001\u4ee5\u4e0b\u306e4\u3064\u306e\u5834\u5408\u5206\u3051\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<ul class=\"wp-block-list\">\n<li>\\(a&lt;1\\)\u306e\u3068\u304d<\/li>\n\n\n\n<li>\\(1\u2266a&lt;2\\)\u306e\u3068\u304d<\/li>\n\n\n\n<li>\\(a=2\\)\u306e\u3068\u304d<\/li>\n\n\n\n<li>\\(2&lt;a\\)\u306e\u3068\u304d<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\\(a&lt;1\\)\u306e\u3068\u304d<\/h4>\n\n\n\n<p>\\(a&lt;1\\)\u306e\u3068\u304d\u3001\u5b9a\u7fa9\u57df\u306b\u542b\u307e\u308c\u308b\u30b0\u30e9\u30d5\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"443\" height=\"247\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408.png\" alt=\"\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408\" class=\"wp-image-5546\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408.png 443w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408-300x167.png 300w\" sizes=\"(max-width: 443px) 100vw, 443px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(a&lt;1\\)\u306e\u3068\u304d\u3001\\(y=(x-1)^{2}+2\\)\u306e\u8ef8\u306f\u5b9a\u7fa9\u57df\u306b\u542b\u307e\u308c\u3066\u3044\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\\(a&lt;1\\)\u306e\u3068\u304d\u306e\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u306f<\/p>\n\n\n\n<p>\\(x=0\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\\(3\\)<\/p>\n\n\n\n<p>\\(x=a\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u5024\\(a^{2}-2a+3\\)<\/p>\n<\/div><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\\(1\u2266a&lt;2\\)\u306e\u3068\u304d<\/h4>\n\n\n\n<p>\\(1\u2266a&lt;2\\)\u306e\u3068\u304d\u3001\u5b9a\u7fa9\u57df\u306b\u542b\u307e\u308c\u308b\u30b0\u30e9\u30d5\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"449\" height=\"262\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54081.png\" alt=\"\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54081\" class=\"wp-image-5547\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54081.png 449w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54081-300x175.png 300w\" sizes=\"(max-width: 449px) 100vw, 449px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(1\u2266a&lt;2\\)\u306e\u3068\u304d\u3001\\(y=(x-1)^{2}+2\\)\u306e\u8ef8\u304c\u5b9a\u7fa9\u57df\u306b\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002\u306a\u306e\u3067\u9802\u70b9\u304c\u6700\u5c0f\u5024\u306b\u306a\u308b\u3053\u3068\u304c\u56f3\u304b\u3089\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\\(1\u2266a&lt;2\\)\u306e\u3068\u304d\u306e\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u306f<\/p>\n\n\n\n<p>\\(x=0\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\\(3\\)<\/p>\n\n\n\n<p>\\(x=1\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u5024\\(2\\)<\/p>\n<\/div><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\\(a=2\\)\u306e\u3068\u304d<\/h4>\n\n\n\n<p>\\(a=2\\)\u306e\u3068\u304d\u3001\u5b9a\u7fa9\u57df\u306b\u542b\u307e\u308c\u308b\u30b0\u30e9\u30d5\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"437\" height=\"259\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54082.png\" alt=\"\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54082\" class=\"wp-image-5548\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54082.png 437w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54082-300x178.png 300w\" sizes=\"(max-width: 437px) 100vw, 437px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(a=2\\)\u306e\u3068\u304d\u3001\u56f3\u304b\u3089\u5206\u304b\u308b\u3088\u3046\u306b<span class=\"hutoaka\">\u6700\u5927\u5024\u3092\u3068\u308b\u70b9\u304c2\u3064\u5b58\u5728\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\\(a=2\\)\u306e\u3068\u304d\u306e\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u306f<\/p>\n\n\n\n<p>\\(x=0,2\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\\(3\\)<\/p>\n\n\n\n<p>\\(x=1\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u5024\\(2\\)<\/p>\n<\/div><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\\(2&lt;a\\)\u306e\u3068\u304d<\/h4>\n\n\n\n<p>\\(2&lt;a\\)\u306e\u3068\u304d\u3001\u5b9a\u7fa9\u57df\u306b\u542b\u307e\u308c\u308b\u30b0\u30e9\u30d5\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"425\" height=\"257\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54084.png\" alt=\"\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54084\" class=\"wp-image-5549\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54084.png 425w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7bc4\u56f2\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54084-300x181.png 300w\" sizes=\"(max-width: 425px) 100vw, 425px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(2&lt;a\\)\u306e\u3068\u304d\u3001\u5b9a\u7fa9\u57df\u306e\u53f3\u7aef\u304c\u6700\u5927\u5024\u3092\u3068\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\\(2&lt;a\\)\u306e\u3068\u304d\u306e\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u306f<\/p>\n\n\n\n<p>\\(x=a\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\\(a^{2}-2a+3\\)<\/p>\n\n\n\n<p>\\(x=1\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u5024\\(2\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6c42\u3081\u308b\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u306f<\/p>\n\n\n\n<div class=\"wp-block-group has-border -border01\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u89e3\u7b54<\/p>\n\n\n\n<p>\\(a\u22661\\)\u306e\u3068\u304d\u3001\u6700\u5927\u50243\u3001\u6700\u5c0f\u5024\\(\\a^{2}-2a+3\\)<\/p>\n\n\n\n<p>\\(1\u2266a\u22662\\)\u306e\u3068\u304d\u3001\u6700\u5927\u50243\u3001\u6700\u5c0f\u50242<\/p>\n\n\n\n<p>\\(2\u2266a\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\\(a^{2}-2a+3\\)\u3001\u6700\u5c0f\u50242<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408<\/h3>\n\n\n\n<p>\u6700\u5f8c\u306f\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408\u3067\u3059\u304c\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u554f\u984c\u304c\u51fa\u984c\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\\(a\\)\u306f\u5b9a\u6570\u3068\u3057\u307e\u3059\u3002<br>2\u6b21\u95a2\u6570\\(y=2x^{2}-4ax (0\u2266x\u22661)\\)\u306e\u6700\u5c0f\u5024\u3092\u3001\u305d\u308c\u305e\u308c\u306e\u5834\u5408\u3067\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>(1)\u3000\\(a&lt;0\\)<br>(2)\u3000\\(0\u2266a\u22661\\)<br>(3)\u3000\\(1&lt;a\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u307e\u305a\u306f\u95a2\u6570\u3092\u5909\u5f62\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;2x^{2}-4ax\\\\<br>&amp;=&amp;2(x^{2}-2ax)\\\\<br>&amp;=&amp;2(x-a)^{2}-2a^{2}<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u3053\u3067\\(a\\)\u306e\u5024\u306b\u3088\u3063\u3066\u3001\u4ee5\u4e0b\u306e3\u554f\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>(1)\u3000\\(a&lt;0\\)<br>(2)\u3000\\(0\u2266a\u22661\\)<br>(3)\u3000\\(1&lt;a\\)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\\(a&lt;0\\)\u306e\u5834\u5408<\/h4>\n\n\n\n<p>\\(a&lt;0\\)\u306e\u3068\u304d\u3001\u30b0\u30e9\u30d5\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"439\" height=\"239\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408-1.png\" alt=\"\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408\" class=\"wp-image-5568\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408-1.png 439w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u5408-1-300x163.png 300w\" sizes=\"(max-width: 439px) 100vw, 439px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(a&lt;0\\)\u306e\u3068\u304d\u3001\\(x=0\\)\u3067\u6700\u5c0f\u50240\u3092\u3068\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\\(0\u2266a\u22661\\)\u306e\u5834\u5408<\/h4>\n\n\n\n<p>\\(0\u2266a\u22661\\)\u306e\u3068\u304d\u3001\u30b0\u30e9\u30d5\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"421\" height=\"244\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54081-1.png\" alt=\"\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54081\" class=\"wp-image-5569\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54081-1.png 421w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54081-1-300x174.png 300w\" sizes=\"(max-width: 421px) 100vw, 421px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\\(0\u2266a\u22661\\)\u306e\u3068\u304d\u3001\\(x=a\\)\u3067\u6700\u5c0f\u5024\\(-2a^{2}\\)\u3092\u3068\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\\(1&lt;a\\)\u306e\u5834\u5408<\/h4>\n\n\n\n<p>\\(1&lt;a\\)\u306e\u3068\u304d\u3001\u30b0\u30e9\u30d5\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"480\" height=\"253\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54082-1.png\" alt=\"\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54082\" class=\"wp-image-5570\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54082-1.png 480w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u8ef8\u306b\u6587\u5b57\u3092\u542b\u3080\u5834\u54082-1-300x158.png 300w\" sizes=\"(max-width: 480px) 100vw, 480px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(1&lt;a\\)\u306e\u3068\u304d\u3001\\(x=1\\)\u3067\u6700\u5c0f\u5024\\(2-4a\\)\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<div class=\"wp-block-group has-border -border01\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u89e3\u7b54<\/p>\n\n\n\n<p>\\(a&lt;0\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u50240<\/p>\n\n\n\n<p>\\(0\u2266a\u22661\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u5024\\(-2a^{2}\\)<\/p>\n\n\n\n<p>\\(1&lt;a\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u5024\\(2-4a\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024\u306e\u554f\u984c\u306f\u304b\u306a\u308a\u306e\u78ba\u7387\u3067\u5b9a\u671f\u30c6\u30b9\u30c8\u306b\u51fa\u984c\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7\">2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a<\/h2>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f<span class=\"hutoaka\">\u5927\u304d\u304f3\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u306b\u5206\u3051\u3089\u308c\u307e\u3059\u3002<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"768\" height=\"294\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b.png\" alt=\"\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b\" class=\"wp-image-5593\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b.png 768w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b-300x115.png 300w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"photoline\"><\/span><\/p>\n\n\n\n<p>\u554f\u984c\u6587\u3067\u4e0e\u3048\u3089\u308c\u305f\u30d2\u30f3\u30c8\u304b\u3089\u3069\u306e\u30d1\u30bf\u30fc\u30f3\u306a\u306e\u304b\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2460\u9802\u70b9\u30681\u70b9\u306e\u5ea7\u6a19\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d<\/h3>\n\n\n\n<p><span class=\"huto\">\u9802\u70b9\u306e\u5ea7\u6a19\u3068\u4ed6\u306e1\u70b9\u304c\u5206\u304b\u3063\u3066\u3044\u308b<\/span>\u3068\u304d\u306f\u2460\u306e\u30d1\u30bf\u30fc\u30f3\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"693\" height=\"312\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a1.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a1\" class=\"wp-image-5595\" style=\"object-fit:cover\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a1.png 693w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a1-300x135.png 300w\" sizes=\"(max-width: 693px) 100vw, 693px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u9802\u70b9\u30681\u70b9\u306e\u5ea7\u6a19<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u30592\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>\u9802\u70b9\u304c\u70b9\\((2,-4)\\)\u3067,\u70b9\\((-1,5)\\)\u3092\u901a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u9802\u70b9\u306e\u5ea7\u6a19\u304b\u3089\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u304c\u4ee5\u4e0b\u306e\u5f62\u3092\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\[y=a(x-2)^{2}-4\\]<\/p>\n\n\n\n<p>\u3053\u306e2\u6b21\u95a2\u6570\u304c\u70b9\\((-1,5)\\)\u3092\u901a\u308b\u306e\u3067\u3001\\(x=-1,y=5\\)\u3092\u4ee3\u5165\u3057\u3066<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>5&amp;=&amp;a(-1-2)^{2}-4\\\\<br>5&amp;=&amp;9a-4\\\\<br>a=1<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001\\(\\displaystyle a=1\\)\u3092\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u3001<\/p>\n\n\n\n<p>\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u306e\u5f0f\u306f \\(\\displaystyle y=(x-2)^{2}-4\\)\u3060\u3068\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2461\u8ef8\u30682\u70b9\u306e\u5ea7\u6a19<\/h3>\n\n\n\n<p><span class=\"huto\">\u8ef8\u306e\u76f4\u7dda\u3068\u4ed6\u306e2\u70b9\u306e\u5ea7\u6a19\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d<\/span>\u3082\u2460\u306e\u30d1\u30bf\u30fc\u30f3\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u8ef8\u30682\u70b9\u306e\u5ea7\u6a19<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u30592\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>\u76f4\u7dda\\(x=3\\)\u3092\u8ef8\u3068\u3057\u3066\u30012\u70b9\\((-1,4),(1,-8)\\)\u3092\u901a\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u8ef8\u304c\\(x=3\\)\u306a\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\(y=a(x-3)^{2}+q\\)<\/p>\n\n\n\n<p>\u3053\u306e2\u6b21\u95a2\u6570\u304c<br>\u70b9(-1,4)\u3092\u901a\u308b\u304b\u3089\u3001\\(4=a(-1-3)^{2}+q\\)<br>\u70b9(1,-8)\u3092\u901a\u308b\u306e\u3067\u3001\\(-8=a(1-3)^{2}+q\\)<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>4&amp;=&amp;16a+q \\cdots \u2460\\\\<br>-8&amp;=&amp;4a+q \\cdots \u2461<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u308c\u3092\u9023\u7acb\u65b9\u7a0b\u5f0f\u3067\u89e3\u304f\u3068\u3000\\(a=1,q=-12\\)<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001\u6c42\u3081\u305f\u30442\u6b21\u95a2\u6570\u304c\\(y=(x-3)^{2}-12\\)\u3060\u3068\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u24623\u70b9\u306e\u5ea7\u6a19<\/h3>\n\n\n\n<p><span class=\"huto\">\u901a\u308b\u70b9\u306e\u5ea7\u6a19\u304c3\u3064\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d<\/span>\u306f\u2461\u306e\u30d1\u30bf\u30fc\u30f3\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"726\" height=\"315\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a2.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a2\" class=\"wp-image-5591\" style=\"object-fit:cover\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a2.png 726w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a2-300x130.png 300w\" sizes=\"(max-width: 726px) 100vw, 726px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>3\u70b9\u306e\u5ea7\u6a19<\/span><\/div><div class=\"cap_box_content\">\n<p>3\u70b9\\((2,-2),(3,5),(-1,1)\\)\u3092\u901a\u308b2\u6b21\u95a2\u6570\u306e\u5f0f\u3092\u6c42\u3081\u306a\u3055\u3044\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>3\u70b9\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u306f<span class=\"hutoaka\">\u9023\u7acb\u65b9\u7a0b\u5f0f<\/span>\u3092\u4f7f\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e2\u6b21\u95a2\u6570\u304c<br>\u70b9(2,-2)\u3092\u901a\u308b\u304b\u3089\u3001\\(-2=4a+2b+c \\cdots \u2460\\)<br>\u70b9(3,5)\u3092\u901a\u308b\u306e\u3067\u3001\\(5=9a+3b+c \\cdots \u2461\\)<br>\u70b9(-1,1)\u3092\u901a\u308b\u306e\u3067\u3001\\(1=a-b+c \\cdots \u2462\\)<\/p>\n\n\n\n<p>\u2461-\u2460\u304b\u3089\u3001\\(7=5a+b \\cdots \u2463\\)<br>\u2461-\u2462\u304b\u3089\u3001\\(4=8a+4b \\cdots \u2464\\)<\/p>\n\n\n\n<p>\u2463\u00d74-\u2464\u304b\u3089\u3001\\(24=12a\\)\u3068\u306a\u308a\\(a=2\\)<br>\u2463\u306b\\(a=2\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\\(b=-3\\)<br>\u2460\u306b\\(a=2,b=-3\\)\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\\(c=-4\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6c42\u3081\u308b2\u6b21\u95a2\u6570\u306f\\(y=2x^{2}-3x-4\\)\u3060\u3068\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2463x\u8ef8\u3068\u306e\u4ea4\u70b9\u30681\u70b9\u306e\u5ea7\u6a19<\/h3>\n\n\n\n<p><span class=\"huto\">x\u8ef8\u3068\u306e\u4ea4\u70b9\u304c2\u70b9\u3068\u4ed6\u306e1\u70b9\u306e\u5ea7\u6a19\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d<\/span>\u306f\u2462\u306e\u30d1\u30bf\u30fc\u30f3\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"711\" height=\"311\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a3.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a3\" class=\"wp-image-5592\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a3.png 711w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a3-300x131.png 300w\" sizes=\"(max-width: 711px) 100vw, 711px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>x\u8ef8\u306e\u4ea4\u70b9\u30681\u70b9\u306e\u5ea7\u6a19<\/span><\/div><div class=\"cap_box_content\">\n<p>x\u8ef8\u3068\u70b9\\((1,0),(3,0)\\)\u3068\u4ea4\u308f\u308a\u3001\u70b9\\((-1,8)\\)\u3092\u901a\u308b2\u6b21\u95a2\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>x\u8ef8\u3068\u70b9(1,0),(3,0)\u3067\u4ea4\u308f\u308b\u306e\u3067\u30012\u6b21\u95a2\u6570\u304c\u4ee5\u4e0b\u306e\u5f62\u3092\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\(y=a(x-1)(x-3)\\)<\/p>\n\n\n\n<p>\u3053\u306e2\u6b21\u95a2\u6570\u304c\u70b9(-1,8)\u3092\u901a\u308b\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>8&amp;=&amp;a(-1-2)(-1-3)\\\\<br>8&amp;=&amp;12a\\\\<br>\\displaystyle a&amp;=&amp;\\frac{2}{3}<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001\u6c42\u3081\u305f\u30442\u6b21\u95a2\u6570\u304c\\(\\displaystyle y=\\frac{2}{3}(x-1)(x-3)\\)\u3060\u3068\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u8aac\u660e\u304c\u9577\u304f\u306a\u3063\u3066\u3057\u307e\u3044\u307e\u3057\u305f\u304c\u30012\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f\u6163\u308c\u308c\u3070\u70b9\u6570\u304c\u53d6\u308c\u308b\u5358\u5143\u306a\u306e\u3067\u3001\u6ca2\u5c71\u7df4\u7fd2\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8\">2\u6b21\u65b9\u7a0b\u5f0f\u3068\u89e3\u306e\u516c\u5f0f<\/h2>\n\n\n\n<p><span class=\"huto\">2\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\u306e\u6c42\u3081\u65b9\u306f\u4e3b\u306b2\u3064\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>2\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\u306e\u6c42\u3081\u65b9<\/span><\/div><div class=\"cap_box_content\">\n<ul class=\"wp-block-list\">\n<li>\u56e0\u6570\u5206\u89e3\u3057\u3066\u6c42\u3081\u308b<\/li>\n\n\n\n<li>\u89e3\u306e\u516c\u5f0f\u3092\u7528\u3044\u3066\u6c42\u3081\u308b<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u56e0\u6570\u5206\u89e3\u3067\u89e3\u3092\u6c42\u3081\u308b<\/h3>\n\n\n\n<p>\u89e3\u306e\u516c\u5f0f\u3092\u89e3\u8aac\u3059\u308b\u524d\u306b\u56e0\u6570\u5206\u89e3\u3067\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5fc5\u305a\u62bc\u3055\u3048\u3066\u6b32\u3057\u3044\u306e\u3067\u78ba\u8a8d\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>x^{2}-5x+4&amp;=&amp;0\\\\<br>(x-1)(x-4)&amp;=&amp;0<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\\(x=1,4\\)<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>2x^{2}-4x-6&amp;=&amp;0\\\\<br>2(x^{2}-2x-3)&amp;=&amp;0\\\\<br>2(x+1)(x-3)&amp;=&amp;0<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\\(x=-1,3\\)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u89e3\u306e\u516c\u5f0f\u3092\u7528\u3044\u3066\u6c42\u3081\u308b<\/h3>\n\n\n\n<p>2\u6b21\u65b9\u7a0b\u5f0f\\(ax^{2}+bx+c=0\\)\u306e\u89e3\u306f\u4ee5\u4e0b\u306e\u8a08\u7b97\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"356\" height=\"123\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u89e3\u306e\u516c\u5f0f.png\" alt=\"\u89e3\u306e\u516c\u5f0f\" class=\"wp-image-5580\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u89e3\u306e\u516c\u5f0f.png 356w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u89e3\u306e\u516c\u5f0f-300x104.png 300w\" sizes=\"(max-width: 356px) 100vw, 356px\" \/><\/figure>\n<\/div>\n\n\n<p>\u89e3\u306e\u516c\u5f0f\u306f\u304b\u306a\u308a\u4fbf\u5229\u306a\u516c\u5f0f\u306a\u306e\u3067<span class=\"hutoaka\">\u5fc5\u305a\u899a\u3048\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n\n<p>\u89e3\u306e\u516c\u5f0f\u306a\u3089\u30ad\u30ec\u30a4\u306b\u56e0\u6570\u5206\u89e3\u304c\u3067\u304d\u306a\u30442\u6b21\u65b9\u7a0b\u5f0f\u3082\u89e3\u3092\u6c42\u3081\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\(x^{2}-4x+1=0\\)<\/p>\n\n\n\n<p>\\(a=1,b=-4,c=1\\)\u3068\u3057\u3066\u3001\u89e3\u306e\u516c\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>D&amp;=&amp;\\frac{-b\u00b1\\sqrt{b^{2}-4ac}}{2a}\\\\<br>&amp;=&amp;\\frac{-(-4)\u00b1\\sqrt{(-4)^{2}-4 \\cdot 1 \\cdot 1}}{2 \\cdot 1}\\\\<br>&amp;=&amp;\\frac{4\u00b1\\sqrt{16-4}}{2}\\\\<br>&amp;=&amp;\\frac{4\u00b12\\sqrt{3}}{2}\\\\<br>&amp;=&amp;2\u00b1\\sqrt{3}<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\\(x=-2\u00b1\\sqrt{6}\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u89e3\u306e\u516c\u5f0f\u306f\u5fc5\u305a\u62bc\u3055\u3048\u3066\u304a\u304d\u305f\u3044\u516c\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9\">2\u6b21\u65b9\u7a0b\u5f0f\u306e\u5224\u5225\u5f0fD<\/h2>\n\n\n\n<p>2\u6b21\u65b9\u7a0b\u5f0f\\(ax^{2}+bx+c=0\\)\u306b\u304a\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092<span class=\"hutoaka\">\u5224\u5225\u5f0f<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"542\" height=\"162\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5224\u5225\u5f0f\u306e\u516c\u5f0f-1.png\" alt=\"\u5224\u5225\u5f0f\u306e\u516c\u5f0f\" class=\"wp-image-7231\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5224\u5225\u5f0f\u306e\u516c\u5f0f-1.png 542w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u5224\u5225\u5f0f\u306e\u516c\u5f0f-1-300x90.png 300w\" sizes=\"(max-width: 542px) 100vw, 542px\" \/><\/figure>\n<\/div>\n\n\n<p>\u5224\u5225\u5f0f\u306e\u7b26\u53f7\u306b\u3088\u3063\u3066\u3055\u307e\u3056\u307e\u306a\u3053\u3068\u304c\u5206\u304b\u308b\u306e\u3067\u305d\u308c\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u65b9\u7a0b\u5f0f\u306e\u89e3\u306e\u500b\u6570<\/h3>\n\n\n\n<p>\u5224\u5225\u5f0fD\u306e\u7b26\u53f7\u306b\u3088\u3063\u3066\u3001<span class=\"hutoaka\">\u65b9\u7a0b\u5f0f\u3092\u6e80\u305f\u3059\u5b9f\u6570\u89e3\u306e\u500b\u6570<\/span>\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"756\" height=\"386\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/2\u6b21\u95a2\u6570\u306e\u5224\u5225\u5f0f.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u5224\u5225\u5f0f\" class=\"wp-image-5603\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/2\u6b21\u95a2\u6570\u306e\u5224\u5225\u5f0f.png 756w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/2\u6b21\u95a2\u6570\u306e\u5224\u5225\u5f0f-300x153.png 300w\" sizes=\"(max-width: 756px) 100vw, 756px\" \/><\/figure>\n<\/div>\n\n\n<p>\u4f8b\u3068\u3057\u3066\u30011\u3064\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u4f8b\u984c\uff11<\/p>\n\n\n\n<p>\u6b21\u306e2\u6b21\u65b9\u7a0b\u5f0f\u306e\u5b9f\u6570\u89e3\u306e\u500b\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>\\(x^{2}+3x-5=0\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\\(a=1,b=3,c=-5\\)\u3068\u3057\u3066\u5224\u5225\u5f0fD\u306b\u4ee3\u5165\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>D&amp;=&amp;b^{2}-4ac\\\\<br>&amp;=&amp;3^{2}-4 \\cdot 1 \\cdot (-5)\\\\<br>&amp;=&amp;9+20\\\\<br>&amp;=&amp;29<br>\\end{eqnarray}<\/p>\n\n\n\n<p>D&gt;0\u306a\u306e\u3067\u3001\u7570\u306a\u308b2\u3064\u306e\u5b9f\u6570\u89e3\u3092\u3082\u3064\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">x\u8ef8\u3068\u306e\u5171\u6709\u70b9\u306e\u500b\u6570<\/h3>\n\n\n\n<p>\u5224\u5225\u5f0fD\u306e\u7b26\u53f7\u306b\u3088\u3063\u3066\u3001<span class=\"huto\">2\u6b21\u95a2\u6570\u3068x\u8ef8\u3068\u306e\u5171\u6709\u70b9\u306e\u500b\u6570<\/span>\u3082\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"746\" height=\"256\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/2\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3.png\" alt=\"2\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\" class=\"wp-image-5604\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/2\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3.png 746w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/2\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3-300x103.png 300w\" sizes=\"(max-width: 746px) 100vw, 746px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-group is-style-bg_grid\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u3010\u88dc\u8db3\u3011\u5b9f\u6570\u89e3\u306e\u500b\u6570\u3063\u3066\u3001\u4f55\u306e\u500b\u6570\u3092\u8868\u3057\u3066\u3044\u308b\u306e\uff1f<\/p>\n\n\n\n<p>\\(ax^{2}+bx+c=0\\)\u306e\u5b9f\u6570\u89e3\u306f\u30012\u6b21\u95a2\u6570\\(y=ax^{2}+bx+c\\)\u3068x\u8ef8\u3068\u306e\u5171\u6709\u70b9\u306ex\u5ea7\u6a19\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u308c\u3082\u4f8b\u984c\u3067\u6163\u308c\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u4f8b\u984c2<\/p>\n\n\n\n<p>\u6b21\u306e2\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3068x\u8ef8\u306e\u5171\u6709\u70b9\u306e\u500b\u6570\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>(1)\u3000\\(y=x^{2}+3x+2\\)<br>(2)\u3000\\(y=2x^{2}-3x+2\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>(1)\u30002\u6b21\u65b9\u7a0b\u5f0f\\(x^{2}+3x+2=0\\)\u306e\u5224\u5225\u5f0f\u3092D\u3068\u3059\u308b\u3068<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>D&amp;=&amp;b^{2}-4ac\\\\<br>&amp;=&amp;3^{2}-4 \\cdot 1 \\cdot 2\\\\<br>&amp;=&amp;9-8\\\\<br>&amp;=&amp;1<br>\\end{eqnarray}<\/p>\n\n\n\n<p>D&gt;0\u3088\u308a\u3001<span class=\"huto\">\u30b0\u30e9\u30d5\u3068x\u8ef8\u306e\u5171\u6709\u70b9\u306e\u500b\u6570\u306f2\u500b\u3067\u3042\u308b\u3002<\/span><\/p>\n\n\n\n<p>(2)\u30002\u6b21\u65b9\u7a0b\u5f0f\\(2x^{2}-3x+2=0\\)\u306e\u5224\u5225\u5f0f\u3092D\u3068\u3059\u308b\u3068<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>D&amp;=&amp;b^{2}-4ac\\\\<br>&amp;=&amp;(-3)^{2}-4 \\cdot 2 \\cdot 2\\\\<br>&amp;=&amp;9-16\\\\<br>&amp;=&amp;-7<br>\\end{eqnarray}<\/p>\n\n\n\n<p>D&lt;0\u3088\u308a\u3001<span class=\"huto\">\u30b0\u30e9\u30d5\u306fx\u8ef8\u306e\u5171\u6709\u70b9\u3092\u3082\u305f\u306a\u3044\u3002<\/span><\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u5171\u6709\u70b9\u3092\u6301\u305f\u306a\u3044\u5834\u5408\u3082\u3042\u308b\u304b\u3089\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u5224\u5225\u5f0fD\u3068\u89e3\u306e\u500b\u6570\u306b\u3064\u3044\u3066\u306f\u5225\u306e\u8a18\u4e8b\u3067\u3082\u8a73\u3057\u304f\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12\">2\u6b21\u95a2\u6570\u300a\u7df4\u7fd2\u554f\u984c\u300b<\/h2>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u7df4\u7fd2\u554f\u984c\u3092\u3044\u304f\u3064\u304b\u7528\u610f\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u5b9f\u969b\u306b\u30ce\u30fc\u30c8\u306b\u8a08\u7b97\u3057\u3066\u3044\u305f\u3060\u3044\u3066\u3082\u826f\u3044\u3067\u3059\u3057\u3001\u4eca\u56de\u306f\u89e3\u6cd5\u306e\u78ba\u8a8d\u306b\u6d3b\u7528\u3057\u3066\u3082OK\u3067\u3059\uff01<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7df4\u7fd2\u554f\u984c\uff11<\/h3>\n\n\n\n<div class=\"swell-block-capbox cap_box is-style-onborder_ttl2\"><div class=\"cap_box_ttl\"><span>\u7df4\u7fd2\u554f\u984c1<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6b21\u306e2\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b9\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>\\(y=x^{2}-4x+3\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u8ef8\u3068\u9802\u70b9\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\\(y=a(x-p)^{2}+q\\)\u306e\u5f62\u306b\u5f0f\u5909\u5f62\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;x^{2}-4x+3\\\\<br>&amp;=&amp;(x-2)^{2}-1<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6c42\u3081\u308b\u8ef8\u3068\u9802\u70b9\u304c\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\u25c7\u89e3\u7b54<br>\u8ef8\u306e\u76f4\u7dda\uff1a\\(x=2\\)<br>\u9802\u70b9\u306e\u5ea7\u6a19\uff1a\\((2,-1)\\)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7df4\u7fd2\u554f\u984c2<\/h3>\n\n\n\n<div class=\"swell-block-capbox cap_box is-style-onborder_ttl2\"><div class=\"cap_box_ttl\"><span>\u7df4\u7fd2\u554f\u984c2<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6b21\u306e2\u6b21\u95a2\u6570\u306e\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n<p>\\(y=x^{2}+2x+3\u3000(-2\u2266x\u22662)\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u307e\u305a\u306f\u95a2\u6570\u3092\u5909\u5f62\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>y&amp;=&amp;x^{2}+2x+3\\\\<br>&amp;=&amp;(x+1)^{2}+2<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u3053\u3067\\(-2\u2266x\u22662\\)\u306a\u306e\u3067\u3001\u30b0\u30e9\u30d5\u306f\u4e0b\u56f3\u306e\u5b9f\u8df5\u90e8\u5206\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"426\" height=\"270\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7df4\u7fd2\u554f\u984c1.png\" alt=\"\u7df4\u7fd2\u554f\u984c1\" class=\"wp-image-5554\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7df4\u7fd2\u554f\u984c1.png 426w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u7df4\u7fd2\u554f\u984c1-300x190.png 300w\" sizes=\"(max-width: 426px) 100vw, 426px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u306e\u30b0\u30e9\u30d5\u306e\u5b9f\u8df5\u90e8\u5206\u306f\\(x=2\\)\u306e\u3068\u304d\u6700\u5927\u5024\\(11\\)\u3092\u3068\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u9802\u70b9\u304c\u5b9a\u7fa9\u57df\u306b\u542b\u307e\u308c\u3066\u3044\u308b\u306e\u3067\\(x=-1\\)\u306e\u3068\u304d\u6700\u5c0f\u50242\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6c42\u3081\u308b\u6700\u5927\u5024\u3001\u6700\u5c0f\u5024\u306f<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\\(x=2\\)\u306e\u3068\u304d\u3001\u6700\u5927\u502411<br>\\(x=-1\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u50242<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7df4\u7fd2\u554f\u984c3<\/h3>\n\n\n\n<div class=\"swell-block-capbox cap_box is-style-onborder_ttl2\"><div class=\"cap_box_ttl\"><span>\u7df4\u7fd2\u554f\u984c3<\/span><\/div><div class=\"cap_box_content\">\n<p>2\u6b21\u65b9\u7a0b\u5f0f \\(x^{2}-2x+m=0\\) \u304c\u7570\u306a\u308b2\u3064\u306e\u5b9f\u6570\u89e3\u3092\u3082\u3064\u3068\u304d\u3001\u5b9a\u6570\\(m\\)\u306e\u5024\u306e\u7bc4\u56f2\u3092\u6c42\u3081\u306a\u3055\u3044\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e2\u6b21\u65b9\u7a0b\u5f0f\u306e\u5224\u5225\u5f0f\u3092D\u3068\u3059\u308b\u3068<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>D&amp;=&amp;b^{2}-4ac\\\\<br>&amp;=&amp;(-2)^{2}-4 \\cdot 1 \\cdot m\\\\<br>&amp;=&amp;4-4m<br>\\end{eqnarray}<\/p>\n\n\n\n<p>2\u6b21\u65b9\u7a0b\u5f0f\u304c\u7570\u306a\u308b2\u3064\u306e\u5b9f\u6570\u89e3\u3092\u3082\u3064\u306e\u306f\u3001\\(D&gt;0\\)\u306e\u3068\u304d\u306a\u306e\u3067<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>4-4m&amp;&gt;&amp;0\\\\<br>m&amp;&lt;&amp;1<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\\(m&lt;1\\)\u306e\u3068\u304d\u7570\u306a\u308b2\u3064\u306e\u5b9f\u6570\u89e3\u3092\u3082\u3064\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"13\">2\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u3010\u307e\u3068\u3081\u3011<\/h2>\n\n\n\n<p><span class=\"huto\">\u4eca\u56de\u306f2\u6b21\u95a2\u6570\u3092\u7dcf\u5fa9\u7fd2\u3067\u304d\u308b\u3088\u3046\u306b\u7db2\u7f85\u7684\u306b\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>2\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u3000\u307e\u3068\u3081<\/span><\/div><div class=\"cap_box_content\">\n<p>2\u6b21\u95a2\u6570\u306e\u5f62\u3092\u899a\u3048\u3066\u304a\u3053\u3046<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\\(y=ax^{2}+bx+c\\)<\/li>\n\n\n\n<li>\\(y=a(x-p)^{2}+q\\)<\/li>\n\n\n\n<li>\\(y=a(x-\\alpha)(x-\\beta)\\)<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"351\" height=\"205\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b91.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b91\" class=\"wp-image-5500\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b91.png 351w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u8ef8\u3068\u9802\u70b91-300x175.png 300w\" sizes=\"(max-width: 351px) 100vw, 351px\" \/><\/figure>\n<\/div>\n\n\n<p>\u30b0\u30e9\u30d5\u306e\u8ef8\u3068\u9802\u70b9\u304c\u8aad\u307f\u53d6\u308c\u308b\u3088\u3046\u306b\u3057\u3088\u3046<br><\/p>\n\n\n\n<p>2\u6b21\u65b9\u7a0b\u5f0f \\(y=a(x-p)^{2}+q\\) \u306b\u304a\u3044\u3066\u3001<br>\u8ef8\u306e\u76f4\u7dda\uff1a\\(x=p\\)\u3000\u3001\u9802\u70b9\u306e\u5ea7\u6a19\uff1a\\((p,q)\\)<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"464\" height=\"223\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5.png\" alt=\"2\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5\" class=\"wp-image-5520\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5.png 464w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/05\/\u4e8c\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5-300x144.png 300w\" sizes=\"(max-width: 464px) 100vw, 464px\" \/><\/figure>\n<\/div>\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u5e73\u884c\u79fb\u52d5\u306f\u5f0f\u3067\u8868\u3059<br><\/p>\n\n\n\n<p>\\(y=ax^{2}\\)\u306e\u30b0\u30e9\u30d5\u3092\\(x\\)\u8ef8\u65b9\u5411\u306b\\(p\\)\u3001\\(y\\)\u8ef8\u65b9\u5411\u306b\\(q\\)\u3060\u3051\u5e73\u884c\u79fb\u52d5\u3055\u305b\u305f\u3082\u306e\u306f<\/p>\n\n\n\n<p>\\(y=a(x-p)^{2}+q\\)<\/p>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306e\u6c7a\u5b9a\u306f3\u3064\u306e\u578b\u306b\u5206\u3051\u3089\u308c\u308b\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"768\" height=\"294\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b.png\" alt=\"\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b\" class=\"wp-image-5593\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b.png 768w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u899a\u3048\u3066\u304a\u304d\u305f\u30443\u3064\u306e\u578b-300x115.png 300w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n<\/div>\n\n\n<p>\u5224\u5225\u5f0fD\u306e\u7b26\u53f7\u306b\u3088\u3063\u3066\u3001\u5b9f\u6570\u89e3\u306e\u500b\u6570\u304c\u5206\u304b\u308b<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>D&gt;0\u3000\u21d2\u3000\u7570\u306a\u308b2\u3064\u306e\u5b9f\u6570\u89e3\u3092\u3082\u3064<\/li>\n\n\n\n<li>D=0\u3000\u21d2\u3000\u5b9f\u6570\u89e3\u30921\u3064\u3082\u3064\uff08\u91cd\u89e3\uff09<\/li>\n\n\n\n<li>D&lt;0\u3000\u21d2\u3000\u5b9f\u6570\u89e3\u3092\u3082\u305f\u306a\u3044<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>2\u6b21\u95a2\u6570\u306f\u554f\u984c\u306e\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3\u304c\u8c4a\u5bcc\u306a\u306e\u3067\u3001\u82e6\u624b\u610f\u8b58\u3092\u6301\u3063\u3066\u3044\u308b\u4eba\u3082\u591a\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u304b\u3057\u554f\u984c\u306e\u610f\u56f3\u3092\u6b63\u3057\u304f\u6349\u3048\u3089\u308c\u308c\u3070\u3001\u3053\u3053\u3067\u7d39\u4ecb\u3057\u305f\u516c\u5f0f\u3060\u3051\u3067\u307b\u3068\u3093\u3069\u306e\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>2\u6b21\u95a2\u6570\u4ee5\u5916\u306e\u5358\u5143\u306b\u3064\u3044\u3066\u3082\u307e\u3068\u3081\u8a18\u4e8b\u3092\u51fa\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u6559\u79d1\u66f8\u306b\u5185\u5bb9\u306b\u6cbf\u3063\u305f\u89e3\u8aac\u8a18\u4e8b\u3092\u6319\u3052\u3066\u3044\u308b\u306e\u3067\u3001\u5b9a\u671f\u8a66\u9a13\u524d\u306b\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>\u305d\u308c\u3067\u306f\u6700\u5f8c\u307e\u3067\u3054\u89a7\u3044\u305f\u3060\u304d\u3042\u308a\u304c\u3068\u3046\u3054\u3056\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u307f\u3093\u306a\u306e\u52aa\u529b\u304c\u5831\u308f\u308c\u307e\u3059\u3088\u3046\u306b\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u300e2\u6b21\u95a2\u6570\u300f\u306f\u6570\u5b66\u2160\u306b\u304a\u3051\u308b\u91cd\u8981\u306a\u5358\u5143\u306e1\u3064\u3067\u3059\u3002 \u5171\u901a\u30c6\u30b9\u30c8\u3084\u5927\u5b66\u5165\u8a66\u3067\u3082\u4e8c\u6b21\u95a2\u6570\u306f\u3088\u304f\u51fa\u984c\u3055\u308c\u308b\u5358\u5143\u306a\u306e\u3067\u3001\u6587\u7cfb\u30fb\u7406\u7cfb\u306b\u95a2\u308f\u3089\u305a\u78ba\u5b9f\u306b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\uff01 2\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u307e\u3068\u3081 \u307e\u305a\u306f2\u6b21\u95a2\u6570\u306b\u304a\u3044\u3066\u78ba\u5b9f\u306b\u62bc\u3055\u3048\u305f\u3044\u201c\u91cd [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":5645,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[21,222],"tags":[22,10,11],"class_list":["post-5318","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-nizikansuu","category-math-1","tag-22","tag-a","tag-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u3010\u9ad8\u6821\u6570\u5b66\u2160\u30112\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u30fb\u91cd\u8981\u5358\u5143\u307e\u3068\u3081\uff01\u57fa\u790e\u304b\u3089\u5fdc\u7528\u307e\u3067\u5fb9\u5e95\u653b\u7565<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u3010\u9ad8\u6821\u6570\u5b66\u2160\u30112\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u30fb\u91cd\u8981\u5358\u5143\u307e\u3068\u3081\uff01\u57fa\u790e\u304b\u3089\u5fdc\u7528\u307e\u3067\u5fb9\u5e95\u653b\u7565\" \/>\n<meta property=\"og:description\" content=\"\u300e2\u6b21\u95a2\u6570\u300f\u306f\u6570\u5b66\u2160\u306b\u304a\u3051\u308b\u91cd\u8981\u306a\u5358\u5143\u306e1\u3064\u3067\u3059\u3002 \u5171\u901a\u30c6\u30b9\u30c8\u3084\u5927\u5b66\u5165\u8a66\u3067\u3082\u4e8c\u6b21\u95a2\u6570\u306f\u3088\u304f\u51fa\u984c\u3055\u308c\u308b\u5358\u5143\u306a\u306e\u3067\u3001\u6587\u7cfb\u30fb\u7406\u7cfb\u306b\u95a2\u308f\u3089\u305a\u78ba\u5b9f\u306b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\uff01 2\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u307e\u3068\u3081 \u307e\u305a\u306f2\u6b21\u95a2\u6570\u306b\u304a\u3044\u3066\u78ba\u5b9f\u306b\u62bc\u3055\u3048\u305f\u3044\u201c\u91cd [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/\" \/>\n<meta property=\"og:site_name\" content=\"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8\" \/>\n<meta property=\"article:published_time\" content=\"2021-06-04T04:14:28+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-11T07:02:14+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u307e\u3068\u3081.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"630\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"\u3086\u3046\u3084\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@https:\/\/twitter.com\/mathtora\" \/>\n<meta name=\"twitter:label1\" content=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u3086\u3046\u3084\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593\" \/>\n\t<meta name=\"twitter:data2\" content=\"34\u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/\"},\"author\":{\"name\":\"\u3086\u3046\u3084\",\"@id\":\"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395\"},\"headline\":\"\u3010\u9ad8\u6821\u6570\u5b66\u2160\u30112\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u30fb\u91cd\u8981\u5358\u5143\u307e\u3068\u3081\uff01\u57fa\u790e\u304b\u3089\u5fdc\u7528\u307e\u3067\u5fb9\u5e95\u653b\u7565\",\"datePublished\":\"2021-06-04T04:14:28+00:00\",\"dateModified\":\"2026-02-11T07:02:14+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/\"},\"wordCount\":1026,\"commentCount\":0,\"image\":{\"@id\":\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u307e\u3068\u3081.png\",\"keywords\":[\"\u4e8c\u6b21\u95a2\u6570\",\"\u6570\u5b66\u2160A\",\"\u9ad8\u6821\u6570\u5b66\"],\"articleSection\":[\"\u4e8c\u6b21\u95a2\u6570\",\"\u6570\u5b661\"],\"inLanguage\":\"ja\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/\",\"url\":\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/\",\"name\":\"\u3010\u9ad8\u6821\u6570\u5b66\u2160\u30112\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u30fb\u91cd\u8981\u5358\u5143\u307e\u3068\u3081\uff01\u57fa\u790e\u304b\u3089\u5fdc\u7528\u307e\u3067\u5fb9\u5e95\u653b\u7565\",\"isPartOf\":{\"@id\":\"https:\/\/math-travel.jp\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u307e\u3068\u3081.png\",\"datePublished\":\"2021-06-04T04:14:28+00:00\",\"dateModified\":\"2026-02-11T07:02:14+00:00\",\"author\":{\"@id\":\"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395\"},\"breadcrumb\":{\"@id\":\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#breadcrumb\"},\"inLanguage\":\"ja\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"ja\",\"@id\":\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#primaryimage\",\"url\":\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u307e\u3068\u3081.png\",\"contentUrl\":\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u307e\u3068\u3081.png\",\"width\":1200,\"height\":630,\"caption\":\"\u4e8c\u6b21\u95a2\u6570\u307e\u3068\u3081\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u30de\u30b9\u30c8\u30e9TOP\u30da\u30fc\u30b8\",\"item\":\"https:\/\/math-travel.jp\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u6570\u5b661\",\"item\":\"https:\/\/math-travel.jp\/math-1\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"\u3010\u9ad8\u6821\u6570\u5b66\u2160\u30112\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u30fb\u91cd\u8981\u5358\u5143\u307e\u3068\u3081\uff01\u57fa\u790e\u304b\u3089\u5fdc\u7528\u307e\u3067\u5fb9\u5e95\u653b\u7565\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/math-travel.jp\/#website\",\"url\":\"https:\/\/math-travel.jp\/\",\"name\":\"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8\",\"description\":\"\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/math-travel.jp\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"ja\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395\",\"name\":\"\u3086\u3046\u3084\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ja\",\"@id\":\"https:\/\/math-travel.jp\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/4d305e300a68567ef8b0fcf2b1b0f737d3d5554876534b905de84ae49b754859?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/4d305e300a68567ef8b0fcf2b1b0f737d3d5554876534b905de84ae49b754859?s=96&d=mm&r=g\",\"caption\":\"\u3086\u3046\u3084\"},\"description\":\"\u6570\u5b66\u6559\u80b2\u5c02\u9580\u5bb6\u30fb\u30aa\u30f3\u30e9\u30a4\u30f3\u5bb6\u5ead\u6559\u5e2b\u300c\u30b9\u30bf\u30c7\u30a3\u30c8\u30ec\u30fc\u30ca\u30fc\u300d\u4ee3\u8868 \u611b\u77e5\u6559\u80b2\u5927\u5b66\u6559\u80b2\u5b66\u90e8\u6570\u5b66\u9078\u4fee\u3092\u5352\u696d\u3002\u5c0f\u5b66\u6821\u30fb\u4e2d\u5b66\u6821\u30fb\u9ad8\u7b49\u5b66\u6821\u306e\u6559\u54e1\u514d\u8a31\u3092\u4fdd\u6301\u3057\u3001\u5b9f\u7528\u6570\u5b66\u6280\u80fd\u691c\u5b9a\u6e961\u7d1a\u3092\u6240\u6301\u3002 \u500b\u5225\u6307\u5c0e\u6b7410\u5e74\u3001\u3053\u308c\u307e\u3067\u306b\u6570\u767e\u540d\u4ee5\u4e0a\u306e\u53d7\u9a13\u751f\u3092\u76f4\u63a5\u6307\u5c0e\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u6559\u79d1\u66f8\u306e\u300c\u884c\u9593\u300d\u306b\u3042\u308b\u8ad6\u7406\u3092\u8a00\u8a9e\u5316\u3057\u3001\u6697\u8a18\u306b\u983c\u3089\u306a\u3044\u300c\u672c\u8cea\u7684\u306a\u6570\u5b66\u306e\u697d\u3057\u3055\u300d\u3092\u4f1d\u3048\u308b\u3053\u3068\u3092\u4fe1\u6761\u3068\u3057\u3066\u3044\u307e\u3059\u3002\u73fe\u5728\u306f\u3001\u5168\u56fd\u306e\u751f\u5f92\u3092\u5bfe\u8c61\u3068\u3057\u305f\u30aa\u30f3\u30e9\u30a4\u30f3\u5bb6\u5ead\u6559\u5e2b\u300c\u30b9\u30bf\u30c7\u30a3\u30c8\u30ec\u30fc\u30ca\u30fc\u300d\u3092\u904b\u55b6\u3057\u3001\u504f\u5dee\u502440\u53f0\u304b\u3089\u306e\u9006\u8ee2\u5408\u683c\u3084\u3001\u6570\u5b66\u30a2\u30ec\u30eb\u30ae\u30fc\u306e\u514b\u670d\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u3066\u3044\u307e\u3059\u3002\",\"sameAs\":[\"https:\/\/www.instagram.com\/mathtora\/\",\"https:\/\/x.com\/https:\/\/twitter.com\/mathtora\",\"https:\/\/www.youtube.com\/channel\/UCH36B2btgm4soZodctY1SJQ\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u3010\u9ad8\u6821\u6570\u5b66\u2160\u30112\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u30fb\u91cd\u8981\u5358\u5143\u307e\u3068\u3081\uff01\u57fa\u790e\u304b\u3089\u5fdc\u7528\u307e\u3067\u5fb9\u5e95\u653b\u7565","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/","og_locale":"ja_JP","og_type":"article","og_title":"\u3010\u9ad8\u6821\u6570\u5b66\u2160\u30112\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u30fb\u91cd\u8981\u5358\u5143\u307e\u3068\u3081\uff01\u57fa\u790e\u304b\u3089\u5fdc\u7528\u307e\u3067\u5fb9\u5e95\u653b\u7565","og_description":"\u300e2\u6b21\u95a2\u6570\u300f\u306f\u6570\u5b66\u2160\u306b\u304a\u3051\u308b\u91cd\u8981\u306a\u5358\u5143\u306e1\u3064\u3067\u3059\u3002 \u5171\u901a\u30c6\u30b9\u30c8\u3084\u5927\u5b66\u5165\u8a66\u3067\u3082\u4e8c\u6b21\u95a2\u6570\u306f\u3088\u304f\u51fa\u984c\u3055\u308c\u308b\u5358\u5143\u306a\u306e\u3067\u3001\u6587\u7cfb\u30fb\u7406\u7cfb\u306b\u95a2\u308f\u3089\u305a\u78ba\u5b9f\u306b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\uff01 2\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u307e\u3068\u3081 \u307e\u305a\u306f2\u6b21\u95a2\u6570\u306b\u304a\u3044\u3066\u78ba\u5b9f\u306b\u62bc\u3055\u3048\u305f\u3044\u201c\u91cd [&hellip;]","og_url":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/","og_site_name":"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8","article_published_time":"2021-06-04T04:14:28+00:00","article_modified_time":"2026-02-11T07:02:14+00:00","og_image":[{"width":1200,"height":630,"url":"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u307e\u3068\u3081.png","type":"image\/png"}],"author":"\u3086\u3046\u3084","twitter_card":"summary_large_image","twitter_creator":"@https:\/\/twitter.com\/mathtora","twitter_misc":{"\u57f7\u7b46\u8005":"\u3086\u3046\u3084","\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593":"34\u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#article","isPartOf":{"@id":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/"},"author":{"name":"\u3086\u3046\u3084","@id":"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395"},"headline":"\u3010\u9ad8\u6821\u6570\u5b66\u2160\u30112\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u30fb\u91cd\u8981\u5358\u5143\u307e\u3068\u3081\uff01\u57fa\u790e\u304b\u3089\u5fdc\u7528\u307e\u3067\u5fb9\u5e95\u653b\u7565","datePublished":"2021-06-04T04:14:28+00:00","dateModified":"2026-02-11T07:02:14+00:00","mainEntityOfPage":{"@id":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/"},"wordCount":1026,"commentCount":0,"image":{"@id":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#primaryimage"},"thumbnailUrl":"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u307e\u3068\u3081.png","keywords":["\u4e8c\u6b21\u95a2\u6570","\u6570\u5b66\u2160A","\u9ad8\u6821\u6570\u5b66"],"articleSection":["\u4e8c\u6b21\u95a2\u6570","\u6570\u5b661"],"inLanguage":"ja","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/math-travel.jp\/math-1\/quadratic-function\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/","url":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/","name":"\u3010\u9ad8\u6821\u6570\u5b66\u2160\u30112\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u30fb\u91cd\u8981\u5358\u5143\u307e\u3068\u3081\uff01\u57fa\u790e\u304b\u3089\u5fdc\u7528\u307e\u3067\u5fb9\u5e95\u653b\u7565","isPartOf":{"@id":"https:\/\/math-travel.jp\/#website"},"primaryImageOfPage":{"@id":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#primaryimage"},"image":{"@id":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#primaryimage"},"thumbnailUrl":"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u307e\u3068\u3081.png","datePublished":"2021-06-04T04:14:28+00:00","dateModified":"2026-02-11T07:02:14+00:00","author":{"@id":"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395"},"breadcrumb":{"@id":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#breadcrumb"},"inLanguage":"ja","potentialAction":[{"@type":"ReadAction","target":["https:\/\/math-travel.jp\/math-1\/quadratic-function\/"]}]},{"@type":"ImageObject","inLanguage":"ja","@id":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#primaryimage","url":"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u307e\u3068\u3081.png","contentUrl":"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/06\/\u4e8c\u6b21\u95a2\u6570\u307e\u3068\u3081.png","width":1200,"height":630,"caption":"\u4e8c\u6b21\u95a2\u6570\u307e\u3068\u3081"},{"@type":"BreadcrumbList","@id":"https:\/\/math-travel.jp\/math-1\/quadratic-function\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u30de\u30b9\u30c8\u30e9TOP\u30da\u30fc\u30b8","item":"https:\/\/math-travel.jp\/"},{"@type":"ListItem","position":2,"name":"\u6570\u5b661","item":"https:\/\/math-travel.jp\/math-1\/"},{"@type":"ListItem","position":3,"name":"\u3010\u9ad8\u6821\u6570\u5b66\u2160\u30112\u6b21\u95a2\u6570\u306e\u516c\u5f0f\u30fb\u91cd\u8981\u5358\u5143\u307e\u3068\u3081\uff01\u57fa\u790e\u304b\u3089\u5fdc\u7528\u307e\u3067\u5fb9\u5e95\u653b\u7565"}]},{"@type":"WebSite","@id":"https:\/\/math-travel.jp\/#website","url":"https:\/\/math-travel.jp\/","name":"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8","description":"\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/math-travel.jp\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"ja"},{"@type":"Person","@id":"https:\/\/math-travel.jp\/#\/schema\/person\/b0d9d1e7e332261165c2f7318aa4d395","name":"\u3086\u3046\u3084","image":{"@type":"ImageObject","inLanguage":"ja","@id":"https:\/\/math-travel.jp\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/4d305e300a68567ef8b0fcf2b1b0f737d3d5554876534b905de84ae49b754859?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/4d305e300a68567ef8b0fcf2b1b0f737d3d5554876534b905de84ae49b754859?s=96&d=mm&r=g","caption":"\u3086\u3046\u3084"},"description":"\u6570\u5b66\u6559\u80b2\u5c02\u9580\u5bb6\u30fb\u30aa\u30f3\u30e9\u30a4\u30f3\u5bb6\u5ead\u6559\u5e2b\u300c\u30b9\u30bf\u30c7\u30a3\u30c8\u30ec\u30fc\u30ca\u30fc\u300d\u4ee3\u8868 \u611b\u77e5\u6559\u80b2\u5927\u5b66\u6559\u80b2\u5b66\u90e8\u6570\u5b66\u9078\u4fee\u3092\u5352\u696d\u3002\u5c0f\u5b66\u6821\u30fb\u4e2d\u5b66\u6821\u30fb\u9ad8\u7b49\u5b66\u6821\u306e\u6559\u54e1\u514d\u8a31\u3092\u4fdd\u6301\u3057\u3001\u5b9f\u7528\u6570\u5b66\u6280\u80fd\u691c\u5b9a\u6e961\u7d1a\u3092\u6240\u6301\u3002 \u500b\u5225\u6307\u5c0e\u6b7410\u5e74\u3001\u3053\u308c\u307e\u3067\u306b\u6570\u767e\u540d\u4ee5\u4e0a\u306e\u53d7\u9a13\u751f\u3092\u76f4\u63a5\u6307\u5c0e\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u6559\u79d1\u66f8\u306e\u300c\u884c\u9593\u300d\u306b\u3042\u308b\u8ad6\u7406\u3092\u8a00\u8a9e\u5316\u3057\u3001\u6697\u8a18\u306b\u983c\u3089\u306a\u3044\u300c\u672c\u8cea\u7684\u306a\u6570\u5b66\u306e\u697d\u3057\u3055\u300d\u3092\u4f1d\u3048\u308b\u3053\u3068\u3092\u4fe1\u6761\u3068\u3057\u3066\u3044\u307e\u3059\u3002\u73fe\u5728\u306f\u3001\u5168\u56fd\u306e\u751f\u5f92\u3092\u5bfe\u8c61\u3068\u3057\u305f\u30aa\u30f3\u30e9\u30a4\u30f3\u5bb6\u5ead\u6559\u5e2b\u300c\u30b9\u30bf\u30c7\u30a3\u30c8\u30ec\u30fc\u30ca\u30fc\u300d\u3092\u904b\u55b6\u3057\u3001\u504f\u5dee\u502440\u53f0\u304b\u3089\u306e\u9006\u8ee2\u5408\u683c\u3084\u3001\u6570\u5b66\u30a2\u30ec\u30eb\u30ae\u30fc\u306e\u514b\u670d\u3092\u30b5\u30dd\u30fc\u30c8\u3057\u3066\u3044\u307e\u3059\u3002","sameAs":["https:\/\/www.instagram.com\/mathtora\/","https:\/\/x.com\/https:\/\/twitter.com\/mathtora","https:\/\/www.youtube.com\/channel\/UCH36B2btgm4soZodctY1SJQ"]}]}},"_links":{"self":[{"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/posts\/5318","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/comments?post=5318"}],"version-history":[{"count":30,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/posts\/5318\/revisions"}],"predecessor-version":[{"id":21463,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/posts\/5318\/revisions\/21463"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/media\/5645"}],"wp:attachment":[{"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/media?parent=5318"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/categories?post=5318"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math-travel.jp\/wp-json\/wp\/v2\/tags?post=5318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}