Question

What is the vertex of the parabola described by `y = (2x – 5)^2 - 7`?

Answer 1

Vertex = `(2.5, -7)`

Explanation:

We want the equation of a parabola, which is `a(x-p)^2+q` where `(-p, q)` gives us our vertex.

To do this, we take want to have x by itself in the brackets, so we take out `2`.

`y=2(x-2.5)^2-7`

Our p is `-(-2.5)` and our q is `(-7)`

So because vertex is `(p,q)` our vertex is `(2.5,-7)`