Which function in vertex form is equivalent to f (x) = x^2+8-16x?

The vertex form is (8,-56)

Vertex form of the given function will be f (x) = (x - 8) ² - 56

Step-by-step explanation:

Standard form of the function is given as

f (x) = x² - 16x + 8

Vertex form of the quadratic function is represented by

f (x) = (x - h) ² + k

Where (h, k) is the vertex of the parabolic function ...

For the function

f (x) = x² + 8 - 16x

= [x² - 2 (8x) + 8² - 8²] + 8

= [ (x - 8) ² - 8²] + 8

= [ (x - 8) ² - 64 + 8]

= (x - 8) ² - 56

Therefore, vertex form of the given function will be f (x) = (x - 8) ² - 56