Question

The function f(x) = x2 + 10x – 3 written in vertex form is f(x) = (x + 5)2 – 28. What are the coordinates of the vertex?

(–5, –28)
(–5, 28)
(5, –28)
(5, 28)

Answer 1

Vertex form uses the following formula:


`y = a(x-h)^2 + k`

Identify the values of h and k in your function:


`(x+5)^2 - 28`

`h = -5, k = -28`

The vertex is found with the following point:


`(h,k)`

`\text{Vertex: (-5, -28)}`

The vertex will be found at (-5, -28).