# How do you find the vertex of a parabola y= -5[x+2]^2?

Jul 18, 2015

The vertex is at color(red)((-2,0).

#### Explanation:

The vertex form of the equation for a parabola is:

$y = a {\left(x - h\right)}^{2} + k$, where ($h , k$) is the vertex of the parabola.

We can re-write your equation as

$y = - 5 {\left(x + 2\right)}^{2} + 0$

By comparing your equation with the vertex form, we see that

$h = - 2$ and $k = 0$.

The vertex is at ($- 2 , 0$).

graph{y = -5(x+2)^2 [-5,2 , -5, 2]} #