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Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x? A.f(x) = (x – 8)2 – 56 B.f(x) = (x – 4)2 + 0 C.f(x) = (x + 8)2 – 72 D.f(x) = (x + 4)2 – 32

Kathy Robinson

in Mathematics

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Daniel King on December 2, 2018

F(x) = x2 + 8 - 16xI going to reorder the use of y and x.y = x2 - 16x + 8y - 8 = x2 - 16xy - 8 + 64 = x2 - 16x + 64y + 56 = (x-8)2y = (x-8)2 - 56(x - 8)(x - 8) = x(x-8) - 8(x-8) = x2 - 8x -8x + 64 = x2 - 16x + 64Choice A.) f(x) = (x-8)2 - 56


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