# How do you find the vertex of a parabola  y= -3[x-6]^2-3 ?

Jul 18, 2015

The vertex is at color(red)((6,-3).

#### Explanation:

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

The vertex form for the equation of a parabola is

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

By comparing the two equations, we see that $h = 6$ and $k = - 3$.

The vertex is at ($6 , - 3$).