Question

What is the vertex form of `y = x^2+7x-1`?

Answer 1

`y = (x + 7/2)^2 - 53/4`

Explanation:

x-coordinate of vertex:
`x = -b/(2a) = -7/2`
y-coordinate of vertex:
`y(-7/2) = 49/4 - 49/2 - 1 = - 53/4`
`Vertex (-7/2, -53/4)`
Vertex form of y:
`y = (x + 7/2)^2 - 53/4`