Question

Change the quadratic to vertex form.
p(x)=2x² – 16x +7
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Answer 1

Vertex form:

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

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