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VashaNatasha [74]
3 years ago
15

Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?

Mathematics
2 answers:
vivado [14]3 years ago
8 0

Answer: The correct option is A.

Explanation:

The given function is,

f(x)=x^2+8-16x

Rewrite the above function.

f(x)=(x^2-16x)+8

To make the perfect square we add and subtract the square of \frac{b}{2a}, where b is coefficient of x and a is the coefficient of x^2.

Since a=1 and b = -16, So we will add and subtract he square of -8.

f(x)=(x^2-16x+(-8)^2)+8-(-8)^2

f(x)=(x^2-16x+(8)^2)+8-64

Using (a-b)^2=a^2-2ab+b^2

f(x)=(x-8)^2)-56

Therefore, the correct option is A.

irga5000 [103]3 years ago
5 0
<span>The answer would be (f(x) = (x – 8)2 – 56)</span>
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