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二次函数填空(1)y=7x²-14x+1=7(x-)²+(2)y=-½x²+2/3x-5/6=-½(x-)²+
题目详情
二次函数填空
(1)y=7x²-14x+1=7(x-____)²+____
(2)y=-½x²+2/3x-5/6=-½(x-____)²+____
(1)y=7x²-14x+1=7(x-____)²+____
(2)y=-½x²+2/3x-5/6=-½(x-____)²+____
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答案和解析
此为将二次函数的解析式由一般式化为顶点式,可配方,也可直接套公式.
y = ax²+bx+c (一般式)
=a(x+ b/2a)² + (4ac - b²)/ 4a (顶点式)
⑴ y=7x²-14x+1=7(x - 1)²+ ( - 6)
⑵ y= -½ x² + 2/3x - 5/6 = -½(x-2/3)²+ ( - 11/ 18)
y = ax²+bx+c (一般式)
=a(x+ b/2a)² + (4ac - b²)/ 4a (顶点式)
⑴ y=7x²-14x+1=7(x - 1)²+ ( - 6)
⑵ y= -½ x² + 2/3x - 5/6 = -½(x-2/3)²+ ( - 11/ 18)
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