Question

What is the axis of symmetry and vertex for the graph `f(x) = (x+3)^2 +9`?

Answer 1

Its vertex is `(-3, 9)`

Its axis of symmetry is `x=-3`

Explanation:

The given equation is in the vertex form -

`y=a(x-h)^2+k`
`y=(x+3)^2+9`

Hence its vertex is `(-3, 9)`

Its axis of symmetry is `x=-3`