Question

What is the axis of symmetry and vertex for the graph `y = –(x + 3)^2 – 6`?

Answer 1

Axis of symmetry: `x=-3`
Vertex: `(-3,-6)`

Explanation:

`y=-(x+3)^2-6`

The equation is given in vertex form: `color(blue)(y=a(x-h)+k" where "(h,k)" is the vertex")`

So the vertex is at:
`(-3,-6)`

The axis of symmetry is the vertical line that passes through the vertex:
`x=-3`