Question

How do you write `f(x)=2x^2+8x+7` in vertex form?

Answer 1

`f(x) = 2(x + 2)^2 - 1`

Explanation:

x-coordinate of vertex:
`x = -b/(2a) = -8/4 = -2`
y-coordinate of vertex:
`f(-2) = 8 - 16 + 7 = - 1`
Vertex (-2, -1)
Vertex form of y:
`f(x) = 2(x + 2)^2 - 1`