# What is the vertex of y= 3(2x-1)^2-12 ?

Dec 7, 2015

$\left(1 , - 12\right)$

#### Explanation:

This is a parabola in vertex form.

Vertex form is a useful way of writing the equation of a parabola so that the vertex is visible within the equation, and doesn't require any work to determine.

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

From this, we can see that $h = 1$ and $k = - 12$, so the vertex is at the point $\left(1 , - 12\right)$.

The only tricky thing to watch out for is that the sign of the $h$-value in vertex form has the OPPOSITE sign of the $x$-value in the coordinate.