# What is the vertex form of #y=2x^2+12x-13 ?

Jan 11, 2016

$y = 2 {\left(x + 3\right)}^{2} - 31$

#### Explanation:

x-coordinate of vertex:
$x = - \frac{b}{2 a} = - \frac{12}{4} = - 3$
y-coordinate of vertex:
y(-3) = 2(9) - 12(3) - 13 = -18 - 13 = -31

Vertex form:$y = 2 {\left(x + 3\right)}^{2} - 31.$