将y=-2x^2+4x+1变形为y=-2(x-1)^2+3
来源:百度知道 编辑:UC知道 时间:2024/06/19 10:17:23
将y=-2x^2+4x+1变形为y=-2(x-1)^2+3要过程
y=-2x^2+4x+1
a=-2
把a先提出来得
y=-2(x^2-2x+1)+1+2
y=-2(x^2-2x+1)+3
看式子,我们变式要与原式一致
来检查看看``
-2*x^2=-2x^2
-2*(-2x)=4x
-2*1+3=1
检验下来正好与原式相等
y=-2x^2+4x+1
y=-2(x^2-2x)+1
y=-2<(x-1)^2-1>+1
y=-2(x-1)^2+2+1
y=-2(x-1)^2+3
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