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

$\left(- \frac{1}{2} , \frac{7}{2}\right)$
$y = - 2 \left({x}^{2} + x + 2\right)$
$y = - 2 \left({\left(x + \frac{1}{2}\right)}^{2} - \frac{1}{4} + 2\right)$
$y = - 2 {\left(x + \frac{1}{2}\right)}^{2} + \frac{7}{2}$
The vertex is $\left(- \frac{1}{2} , \frac{7}{2}\right)$