How do I find the vertex of y=(x+2)^2-3?

Jul 29, 2015

The vertex is at color(red)((-2,-3).

Explanation:

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

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 $h = - 2$ and $k = - 3$.
The vertex is at ($- 2 , - 3$).