# What is the the vertex of y = -12x^2 - 4x-5?

May 18, 2018

$x = - \frac{- 4}{2 \left(- 12\right)} = - \frac{1}{6}$
$y = - 12 {\left(- \frac{1}{6}\right)}^{2} - 4 \left(- \frac{1}{6}\right) - 5 = - \frac{14}{3}$

#### Explanation:

$y = a {x}^{2} + b x + c$
The vertex is the (x, y) value where $x = \frac{- b}{2 a}$ and y = the result when you put the x you found into the equation.