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

Jul 29, 2015

The vertex is at color(red)((3,0).

#### Explanation:

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

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.

We can re-write your equation as

$y = {\left(x - 3\right)}^{2} + 0$

By comparing the two equations, we see that $h = 3$ and $k = 0$.

The vertex is at ($3 , 0$).