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style=\"color: #ff0000;\">\u5e73\u65b9\u5b8c\u6210\u306e\u516c\u5f0f\u306f\u8907\u96d1\u3067\u3042\u308a\u3001\u899a\u3048\u306a\u3044\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/span>\u305d\u3053\u3067\u516c\u5f0f\u306f\u5229\u7528\u305b\u305a\u3001\u300c\u3069\u306e\u3088\u3046\u306b\u5e73\u65b9\u5b8c\u6210\u3092\u3059\u308c\u3070\u3044\u3044\u306e\u304b\u300d\u306b\u3064\u3044\u3066\u3001\u3084\u308a\u65b9\u3092\u5b66\u3076\u3068\u3044\u3044\u3067\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306e\u624b\u9806\u306b\u3088\u3063\u3066\u5e73\u65b9\u5b8c\u6210\u3092\u3057\u307e\u3059\u3002<\/p>\n<ol>\n<li>\\(a\\)\u3092\u5229\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3057\u3001\u30ab\u30c3\u30b3\u3092\u3082\u3064\u5f0f\u3092\u4f5c\u308b<\/li>\n<li>\u30ab\u30c3\u30b3\u306e\u4e2d\u3067\u3001\u4e8c\u4e57\u306e\u5f0f\u3078\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b\u5f0f\u3092\u4f5c\u308b<\/li>\n<li>\u4e0d\u8981\u306a\u6570\u3092\u30ab\u30c3\u30b3\u306e\u5916\u306b\u51fa\u3057\u3001\u4e8c\u4e57\u306e\u5f0f\u3092\u4f5c\u308b<\/li>\n<\/ol>\n<p>\u3053\u306e\u8aac\u660e\u3067\u306f\u7406\u89e3\u3067\u304d\u306a\u3044\u3068\u601d\u3046\u306e\u3067\u3001\u5b9f\u969b\u306b\u5e73\u65b9\u5b8c\u6210\u3092\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><strong>\u30fb\u5e73\u65b9\u5b8c\u6210\u3092\u884c\u3046<\/strong><\/p>\n<p>\u4f8b\u3068\u3057\u3066\u3001\\(y=x^2-4x+7\\)\u306e\u5e73\u65b9\u5b8c\u6210\u3092\u3057\u307e\u3059\u3002\\(y=x^2-4x+7\\)\u3068\\(y=ax^2+bx+c\\)\u3092\u6bd4\u3079\u308b\u3068\u3001\\(a=1\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4eca\u56de\u306f\\(a\\)\u3092\u5229\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3059\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u6b21\u306b\u30ab\u30c3\u30b3\u3092\u3082\u3064\u5f0f\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y=x^2-4x+7\\)<\/p>\n<p>\\(y=(x^2-4x)+7\\)<\/p>\n<p>\u305d\u306e\u5f8c\u3001<span style=\"color: #0000ff;\">\u30ab\u30c3\u30b3\u306e\u4e2d\u306b\u56e0\u6570\u5206\u89e3\u3067\u304d\u308b\u5f0f\u3092\u4f5c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span>\u56e0\u6570\u5206\u89e3\u3092\u3059\u308b\u3068\u304d\u3001\u4e8c\u4e57\u306e\u5f0f\u3092\u4f5c\u308b\u306b\u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\((x+a)^2=x^2+2ax+a^2\\)<\/li>\n<li>\\((x-a)^2=x^2-2ax+a^2\\)<\/li>\n<\/ul>\n<p>\\(y=(x^2-4x)+7\\)\u3092\u307f\u3066\u3001\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\\(x^2-2ax+a^2\\)\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3067\u3057\u3087\u3046\u304b\u3002\u305d\u3053\u3067\u3001\\(y=(x^2\\color{red}{-4x})+7\\)\u306e\\(-4x\\)\u306b\u7740\u76ee\u3057\u307e\u3057\u3087\u3046\u3002\\(-4x\\)\u306e\u4fc2\u6570\u306f-4\u3067\u3059\u3002\u305d\u3053\u3067\u3001-4\u3092-2\u3067\u5272\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u306a\u305c-2\u3067\u5272\u308b\u304b\u3068\u3044\u3046\u3068\u3001\\(x^2-2ax+a^2\\)\u3092\u4f5c\u308b\u5fc5\u8981\u304c\u3042\u308b\u304b\u3089\u3067\u3059\u3002\\(y=(x^2\\color{red}{-4x})+7\\)\u3068\\(y=x^2\\color{red}{-2ax}+a^2\\)\u3092\u6bd4\u8f03\u3059\u308b\u3068\u3001\\(-4x=-2ax\\)\u306b\u306a\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\\(-4=-2a\\)\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\\(a\\)\u306e\u5024\u3092\u307f\u3064\u3051\u308b\u305f\u3081\u3001-2\u3067\u5272\u308b\u306e\u3067\u3059\u3002\u305d\u3046\u3059\u308b\u3068\u3001\\(a=-4\u00f7-2=2\\)\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\((x-2)^2=x^2-4x+4\\)\u3067\u3059\u3002\u305f\u3060\\(y=(x^2-4x)+7\\)\u3068\\(x^2-4x+4\\)\u3092\u6bd4\u8f03\u3059\u308b\u3068\u3001\u660e\u3089\u304b\u306b\u5f0f\u304c\u9055\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u3001\\(y=(x^2-4x)+7\\)\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y=(x^2-4x)+7\\)<\/p>\n<p>\\(y=(\\color{red}{x^2-4x+4}-4)+7\\)<\/p>\n<p>\\(y=(x^2-4x+4)+3\\)<\/p>\n<p>\\((x-2)^2=x^2-4x+4\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u56e0\u6570\u5206\u89e3\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u4ee5\u4e0b\u306e\u5f0f\u306b\u5909\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(y=(x^2-4x+4)+3\\)<\/p>\n<p>\\(y=(x-2)^2+3\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(y=x^2-4x+7\\)\u304b\u3089\\(y=(x-2)^2+3\\)\u306e\u5f0f\u306b\u5909\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u5e73\u65b9\u5b8c\u6210\u306b\u6163\u308c\u308b<\/strong><\/p>\n<p>\u305d\u3053\u3067\u306f\u3001\u307b\u304b\u306e\u4e8c\u6b21\u95a2\u6570\u306b\u3064\u3044\u3066\u3082\u5e73\u65b9\u5b8c\u6210\u3092\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u5f0f\u306f\u3069\u306e\u3088\u3046\u306b\u5e73\u65b9\u5b8c\u6210\u3059\u308c\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(y=2x^2-4x\\)<\/li>\n<li>\\(y=-x^2-6x-6\\)<\/li>\n<\/ul>\n<p>\u307e\u305a\u3001\\(y=2x^2-4x\\)\u3092\u5e73\u65b9\u5b8c\u6210\u3057\u307e\u3057\u3087\u3046\u3002\\(y=ax^2+bx+c\\)\u3092\u6bd4\u3079\u308b\u3068\u3001\\(a=2\\)\u3067\u3059\u3002\u305d\u3053\u3067\u30012\u3092\u5229\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y=2x^2-4x\\)<\/p>\n<p>\\(y=2(x^2-2x)\\)<\/p>\n<p>\u6b21\u306b\u3001\\(y=2(x^2-2x)\\)\u306e\u5f0f\u3092\u5229\u7528\u3057\u3066\u3001\\(x^2-2ax+a^2\\)\u3092\u4f5c\u308a\u307e\u3057\u3087\u3046\u3002\\(y=2(x^2\\color{red}{-2x})\\)\u306e\u3046\u3061\u3001\\(-2x\\)\u306b\u7740\u76ee\u3057\u307e\u3059\u3002\u4fc2\u6570\u306f-2\u3067\u3042\u308b\u305f\u3081\u3001-2\u3092-2\u3067\u5272\u308b\u3068\u7b54\u3048\u306f1\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(y=2(x^2-2x)\\)<\/p>\n<p>\\(y=2(\\color{red}{x^2-2x+1}-1)\\)<\/p>\n<p>\\(y=2(x^2-2x+1)-2\\)<\/p>\n<p>\u6b21\u306b\u56e0\u6570\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y=2(x^2-2x+1)-2\\)<\/p>\n<p>\\(y=2(x-1)^2-2\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u5e73\u65b9\u5b8c\u6210\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\\(y=-x^2-6x-6\\)\u306e\u5e73\u65b9\u5b8c\u6210\u306f\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u3067\u3057\u3087\u3046\u304b\u3002\u307e\u305a\u3001-1\u3092\u5229\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y=-x^2-6x-6\\)<\/p>\n<p>\\(y=-(x^2+6x)-6\\)<\/p>\n<p>\u6b21\u306b\\(6x\\)\u306b\u7740\u76ee\u3057\u3066\u3001\u4e8c\u4e57\u306e\u5f0f\u3078\u5909\u63db\u3067\u304d\u308b\u5f0f\u3092\u4f5c\u308a\u307e\u3059\u3002\u306a\u304a\u3001\u4eca\u56de\u306f\\(x^2\\color{red}{+}2ax+a^2\\)\u306e\u5f0f\u3092\u4f5c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u5148\u307b\u3069\u3068\u306f\u7570\u306a\u308a\u3001-2\u3067\u306f\u306a\u304f2\u3067\u5272\u308a\u307e\u3057\u3087\u3046\u3002\\(6x=2ax\\)\u306b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u3001\\(6=2a\\)\u3068\u306a\u308b\u304b\u3089\u3067\u3059\u3002\\(a=6\u00f72=3\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\((x+3)^2\\)\u306e\u5f0f\u3092\u4f5c\u308b\u305f\u3081\u306b\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u3048\u307e\u3059\u3002<\/p>\n<p>\\(y=-(x^2+6x)-6\\)<\/p>\n<p>\\(y=-(\\color{red}{x^2+6x+9}-9)-6\\)<\/p>\n<p>\\(y=-(x^2+6x+9)+3\\)<\/p>\n<p>\\(y=-(x+3)^2+3\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u5e73\u65b9\u5b8c\u6210\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2>\u5e73\u884c\u79fb\u52d5\u306b\u3088\u308b\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u79fb\u52d5<\/h2>\n<p>\u6b21\u306b\u3001\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u5e73\u884c\u79fb\u52d5\u3059\u308b\u3068\u304d\u3001\u30b0\u30e9\u30d5\u306e\u9802\u70b9\u304c\u3069\u3053\u306b\u6765\u308b\u306e\u304b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u30b0\u30e9\u30d5\u3092\u5e73\u884c\u79fb\u52d5\u3055\u305b\u308b\u305f\u3081\u3001\u30b0\u30e9\u30d5\u306e\u5f62\u306f\u5909\u308f\u308a\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u9802\u70b9\u306e\u5834\u6240\u304c\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u5148\u307b\u3069\\(y=(x-2)^2+3\\)\u3068\u3044\u3046\u306e\u306f\u3001\\(y=x^2\\)\u306e\u30b0\u30e9\u30d5\u3092\u53f3\u306b2\u3064\u3001\u4e0a\u306b3\u3064\u79fb\u52d5\u3055\u305b\u305f\u30b0\u30e9\u30d5\u3067\u3042\u308b\u3068\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\\(y=(x-2)^2+3\\)\u306e\u9802\u70b9\u306f\\((2,3)\\)\u3060\u304b\u3089\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/rehr3.jpg\" alt=\"\" width=\"600\" height=\"279\" class=\"aligncenter size-full wp-image-4742\" \/><\/p>\n<p>\u3064\u307e\u308a<span style=\"color: #0000ff;\">\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u5e73\u884c\u79fb\u52d5\u3055\u305b\u308b\u305f\u3081\u306b\u306f\u3001\\(y=(x-p)^2+q\\)\u306e\u5f0f\u3092\u78ba\u8a8d\u3057\u3066\u3001\u9802\u70b9\u3092\u52d5\u304b\u305b\u3070\u3044\u3044\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/span>\u4f8b\u3048\u3070\\(y=x^2\\)\u306e\u5f0f\u3092\u5de6\u306b4\u3064\u3001\u4e0b\u306b2\u3064\u52d5\u304b\u3059\u5834\u5408\u3001\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y=(x+4)^2-2\\)<\/li>\n<\/ul>\n<p>\\(y=(x+4)^2-2\\)\u3067\u306f\u3001\u9802\u70b9\u306f\\((-4,-2)\\)\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306b\\(y=(x-p)^2+q\\)\u3092\u78ba\u8a8d\u3057\u3066\u3001\\(p\\)\u3068\\(q\\)\u306e\u5024\u3092\u5909\u3048\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u9802\u70b9\u3092\u79fb\u52d5\u3055\u305b\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308c\u3070\u3001\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u5e73\u884c\u79fb\u52d5\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\\(y=ax^2+bx+c\\)\u306e\u5f0f\u3092\u5e73\u884c\u79fb\u52d5\u3055\u305b\u308b<\/strong><\/p>\n<p>\u305d\u308c\u3067\u306f\u4e00\u822c\u5f0f\u3067\u3042\u308b\\(y=ax^2+bx+c\\)\u3092\u4e0e\u3048\u3089\u308c\u308b\u3068\u304d\u3001\u4e8c\u6b21\u95a2\u6570\u3092\u5e73\u884c\u79fb\u52d5\u3055\u305b\u308b\u306b\u306f\u3069\u306e\u3088\u3046\u306b\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\\(y=ax^2+bx+c\\)\u3067\u306f\u9802\u70b9\u304c\u308f\u304b\u3089\u306a\u3044\u305f\u3081\u3001\u5e73\u65b9\u5b8c\u6210\u3057\u307e\u3057\u3087\u3046\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u5f0f\u306e\u30b0\u30e9\u30d5\u3092\u5de6\u306b3\u3064\u3001\u4e0b\u306b4\u3064\u52d5\u304b\u3059\u5834\u5408\u3001\u3069\u306e\u3088\u3046\u306a\u4e8c\u6b21\u95a2\u6570\u306b\u306a\u308b\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(y=x^2-4x+7\\)<\/li>\n<\/ul>\n<p>\u5148\u307b\u3069\u8aac\u660e\u3057\u305f\u901a\u308a\u3001\\(y=x^2-4x+7\\)\u3092\u5e73\u65b9\u5b8c\u6210\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u95a2\u6570\u306b\u5909\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y=(x-2)^2+3\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u3088\u3046\u306b\u5e73\u65b9\u5b8c\u6210\u3059\u308c\u3070\u9802\u70b9\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u9802\u70b9\u304c\u308f\u304b\u308c\u3070\u3001\u5e73\u884c\u79fb\u52d5\u3055\u305b\u305f\u5f8c\u306e\u95a2\u6570\u304c\u308f\u304b\u308a\u307e\u3059\u3002\\(y=(x-2)^2+3\\)\u3092\u5de6\u306b3\u3064\u3001\u4e0b\u306b4\u3064\u52d5\u304b\u3059\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u95a2\u6570\u3092\u4f5c\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y=(x+1)^2-1\\)<\/li>\n<\/ul>\n<p>\\(y=(x+1)^2-1\\)\u306e\u9802\u70b9\u306f\\((-1,-1)\\)\u3067\u3059\u3002\u307e\u305f\u3001\\(y=(x-2)^2+3\\)\u306e\u9802\u70b9\u306f\\((2,3)\\)\u3067\u3059\u3002\\((2,3)\\)\u304b\u3089\u5de6\u306b3\u3064\u3001\u4e0b\u306b4\u3064\u52d5\u304b\u305b\u3070\u3001\u9802\u70b9\u306f\\((-1,-1)\\)\u3068\u91cd\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u5e73\u884c\u79fb\u52d5\u306b\u3088\u3063\u3066\\(y=(x+1)^2-1\\)\u306b\u306a\u308b\u306e\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u7b54\u3048\u3092\u51fa\u3057\u307e\u3059\u3002<\/p>\n<h3>\u5bfe\u79f0\u79fb\u52d5\u306b\u3088\u308b\u4e8c\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u79fb\u52d5<\/h3>\n<p>\u306a\u304a\u3001\u4e8c\u6b21\u95a2\u6570\u306e\u79fb\u52d5\u3067\u306f\u5e73\u884c\u79fb\u52d5\u306e\u307b\u304b\u306b\u3082\u5bfe\u79f0\u79fb\u52d5\u304c\u3042\u308a\u307e\u3059\u3002\u5bfe\u79f0\u79fb\u52d5\u3067\u306f\\(x\\)\u8ef8\u3084\\(y\\)\u8ef8\u3001\u539f\u70b9\u3092\u5229\u7528\u3057\u3066\u4e8c\u6b21\u95a2\u6570\u3092\u79fb\u52d5\u3055\u305b\u307e\u3059\u3002<\/p>\n<p>\\(x\\)\u8ef8\u5bfe\u79f0\u3001\\(y\\)\u8ef8\u5bfe\u79f0\u3001\u539f\u70b9\u5bfe\u79f0\u306e\u30b0\u30e9\u30d5\u304c\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u306e\u304b\u4ee5\u4e0b\u3067\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(x\\)\u8ef8\u5bfe\u79f0\uff1a\u9802\u70b9\u304c\\((x,y)\\)\u304b\u3089\\((x,-y)\\)\u306b\u306a\u308b<\/li>\n<li>\\(y\\)\u8ef8\u5bfe\u79f0\uff1a\u9802\u70b9\u304c\\((x,y)\\)\u304b\u3089\\((-x,y)\\)\u306b\u306a\u308b<\/li>\n<li>\u539f\u70b9\u5bfe\u79f0\uff1a\u9802\u70b9\u304c\\((x,y)\\)\u304b\u3089\\((-x,-y)\\)\u306b\u306a\u308b<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/rehr4.jpg\" alt=\"\" width=\"600\" height=\"216\" class=\"aligncenter size-full wp-image-4743\" \/><\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u4e8c\u6b21\u95a2\u6570\u306e\u5f62\u306f\u5909\u308f\u3089\u306a\u3044\u3082\u306e\u306e\u3001\u9802\u70b9\u306e\u4f4d\u7f6e\u304c\u79fb\u52d5\u3057\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(y=f(x)\\)\u306e\u95a2\u6570\u306b\u3064\u3044\u3066\u3001\u5bfe\u79f0\u79fb\u52d5\u3067\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x\\)\u8ef8\u5bfe\u79f0\uff1a\\(-y=f(x)\\)<\/li>\n<li>\\(y\\)\u8ef8\u5bfe\u79f0\uff1a\\(y=f(-x)\\)<\/li>\n<li>\u539f\u70b9\u5bfe\u79f0\uff1a\\(-y=f(- x)\\)<\/li>\n<\/ul>\n<p>\u305d\u308c\u3067\u306f\u3001\u5bfe\u79f0\u79fb\u52d5\u306b\u3088\u3063\u3066\u4e8c\u6b21\u95a2\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u308f\u308b\u306e\u304b\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><strong>\u30fb\\(x\\)\u8ef8\u5bfe\u79f0<\/strong><\/p>\n<p>\u4f8b\u3048\u3070\\(y=x^2-4x+7\\)\u306e\\(x\\)\u8ef8\u5bfe\u79f0\u306f\u3069\u306e\u3088\u3046\u306a\u30b0\u30e9\u30d5\u3067\u3057\u3087\u3046\u304b\u3002\\(-y=f(x)\\)\u306b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\\(x\\)\u8ef8\u5bfe\u79f0\u3067\u306f\u4ee5\u4e0b\u306e\u95a2\u6570\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(-y=x^2-4x+7\\)<\/p>\n<p>\\(y=-x^2+4x-7\\)<\/p>\n<p><strong>\u30fb\\(y\\)\u8ef8\u5bfe\u79f0<\/strong><\/p>\n<p>\\(y=x^2-4x+7\\)\u306e\\(y\\)\u8ef8\u5bfe\u79f0\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u3067\u3057\u3087\u3046\u304b\u3002\\(y\\)\u8ef8\u5bfe\u79f0\u3067\u306f\\(y=f(-x)\\)\u3068\u306a\u308b\u305f\u3081\u3001\\(x\\)\u306b\\(-x\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y=(-x)^2-4(-x)+7\\)<\/p>\n<p>\\(y=x^2+4x+7\\)<\/p>\n<p><strong>\u30fb\u539f\u70b9\u5bfe\u79f0<\/strong><\/p>\n<p>\\(y=x^2-4x+7\\)\u306e\u539f\u70b9\u5bfe\u79f0\u306f\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u3067\u3057\u3087\u3046\u304b\u3002\u539f\u70b9\u5bfe\u79f0\u306e\u5834\u5408\u3001\\(x\\)\u3068\\(y\\)\u306e\u4e21\u65b9\u306e\u7b26\u53f7\u304c\u5909\u308f\u308a\u307e\u3059\u3002\u539f\u70b9\u5bfe\u79f0\u3067\u306f\\(-y=f(-x)\\)\u3068\u306a\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(-y=(-x)^2-4(-x)+7\\)<\/p>\n<p>\\(-y=x^2+4x+7\\)<\/p>\n<p>\\(y=-x^2-4x-7\\)<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u4e8c\u6b21\u95a2\u6570\u3092\u5bfe\u79f0\u79fb\u52d5\u3055\u305b\u307e\u3059\u3002<\/p>\n<h2>\u9802\u70b9\u3092\u5229\u7528\u3057\u3001\u4e8c\u6b21\u95a2\u6570\u3092\u6c7a\u5b9a\u3059\u308b<\/h2>\n<p>\u306a\u304a\u9802\u70b9\u304c\u308f\u304b\u308c\u3070\u3001\u4e8c\u6b21\u95a2\u6570\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\\(y=a(x-p)^2+q\\)\u307e\u305f\u306f\\(y=ax^2+bx+c\\)\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u4e8c\u6b21\u95a2\u6570\u3092\u5f97\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u306a\u304a<span style=\"color: #0000ff;\">\u9802\u70b9\u3084\u8ef8\u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u5834\u5408\u3001\\(y=a(x-p)^2+q\\)\u3092\u5229\u7528\u3057\u307e\u3059\u3002<\/span>\u4e00\u65b9\u3067<span style=\"color: #0000ff;\">\u9802\u70b9\u3084\u8ef8\u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u306a\u3044\u5834\u5408\u3001\\(y=ax^2+bx+c\\)\u3092\u5229\u7528\u3057\u3066\u4e8c\u6b21\u95a2\u6570\u3092\u51fa\u3059\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<p><strong>\u30fb\u9802\u70b9\u3084\u8ef8\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u5834\u5408<\/strong><\/p>\n<p>\u4f8b\u3048\u3070\u9802\u70b9\u304c\\((2,1)\\)\u3067\u3042\u308a\u3001\u70b9\\((1,2)\\)\u3092\u901a\u308b\u4e8c\u6b21\u95a2\u6570\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002\u9802\u70b9\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u305f\u3081\u3001\\(y=a(x-p)^2+q\\)\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y=a(x-2)^2+1\\)<\/li>\n<\/ul>\n<p>\u307e\u305f\u3001\u3053\u306e\u4e8c\u6b21\u95a2\u6570\u306f\u70b9\\((1,2)\\)\u3092\u901a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\\(x=1,y=2\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(2=a(1-2)^2+1\\)<\/p>\n<p>\\(2=a+1\\)<\/p>\n<p>\\(a=1\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u4e8c\u6b21\u95a2\u6570\u306f\\(y=(x-2)^2+1\\)\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\u9802\u70b9\u3084\u8ef8\u304c\u308f\u304b\u3089\u306a\u3044\u5834\u5408<\/strong><\/p>\n<p>\u4e00\u65b9\u3001\u9802\u70b9\u3092\u4e0e\u3048\u3089\u308c\u3066\u3044\u306a\u3044\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u3001\\(y=ax^2+bx+c\\)\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002\u4f8b\u3048\u3070\u70b9\\((1,2)\\)\u3001\u70b9\\((2,1)\\)\u3001\u70b9\\((4,5)\\)\u3092\u901a\u308b\u4e8c\u6b21\u95a2\u6570\u306f\u306a\u3093\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u7b54\u3048\u3092\u51fa\u3059\u305f\u3081\u3001\u305d\u308c\u305e\u308c\u306e\u5ea7\u6a19\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u70b9\\((1,2)\\)\uff1a\\(2=a+b+c\\) 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