Answer:
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
