# What is the vertex form of y= 30x^2+5x-12?

$y = \frac{1}{30} {\left(x - \frac{1}{12}\right)}^{2} - \frac{869}{12}$
The vertex form is $y = a {\left(x - h\right)}^{2} + k$ where $\left(h , k\right)$ is the vertex.
$y = \frac{1}{30} {\left(x - \frac{5}{60}\right)}^{2} - \frac{25}{360} - 12$
$y = \frac{1}{30} {\left(x - \frac{1}{12}\right)}^{2} - \frac{869}{12}$