# What is the axis of symmetry and vertex for the graph y=-3(x+2)^2+5?

Aug 4, 2017

vertex: $\left(- 2 , 5\right)$
axis of symmetry: $x = - 2$

#### Explanation:

You can write a quadratic equation in standard form:

$y = a {x}^{2} + b x + c$

or in vertex form:

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

where $\left(h , k\right)$ is the vertex of the graph (parabola) and $x = h$ is the axis of symmetry.

The equation

$y = - 3 {\left(x + 2\right)}^{2} + 5$

is already in vertex form so the vertex is (-2,5 and the axis of symmetry is $x = - 2$.