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

Mar 18, 2016

Its vertex is $\left(- 3 , 9\right)$

Its axis of symmetry is $x = - 3$

#### Explanation:

The given equation is in the vertex form -

$y = a {\left(x - h\right)}^{2} + k$
$y = {\left(x + 3\right)}^{2} + 9$

Hence its vertex is $\left(- 3 , 9\right)$

Its axis of symmetry is $x = - 3$