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?

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).