Change the quadratic to vertex form.

p (x) = 2x² - 16x + 7

Vertex form:

p (x) = 2 (x - 4) ^2 - 25

Step-by-step explanation:

p (x) = 2x² - 16x + 7

a = 2, b = - 16 and c = 7

x = - b/2a

= - (-16) / 2 (2)

= 16/4

= 4

Plug x = 4 into the equation to find y

y = 2 (4) ² - 16 (4) + 7

y = 32 - 64 + 7

y = - 25

Vertex (4, - 25)

So Vertex form: y = a (x - h) ^2 + k where h = 4 and k = - 25

so

p (x) = 2 (x - 4) ^2 - 25