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

Apr 25, 2017

Axis of symmetry: $x = - 3$
Vertex: $\left(- 3 , - 6\right)$

Explanation:

$y = - {\left(x + 3\right)}^{2} - 6$

The equation is given in vertex form: $\textcolor{b l u e}{y = a \left(x - h\right) + k \text{ where "(h,k)" is the vertex}}$

So the vertex is at:
$\left(- 3 , - 6\right)$

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