Question

What is the axis of symmetry and vertex for the graph `y = (x – 3)^2 – 25`?

Answer 1

The axis of symmetry is `x=h=3`.

The vertex is `(3,-25)`

Explanation:

`y=(x-3)^2-25` is in vertex form: `y=a(x-h)^2+k`, where `a=1`, `h=3`, and `k=-25`

The axis of symmetry is equal to `h`, which is `x` on a graph. The vertex is `(h,k)`, which is `(3,-25)`.
graph{y=(x-3)^2-25 [-16.82, 15.22, -31.34, -15.32]}