# How do you write the Vertex form equation of the parabola y = 2x^2 + 12x - 7?

Feb 22, 2016

$y = {\left(x + 3\right)}^{2} - 25$

#### Explanation:

x-coordinate of vertex:
$x = - \frac{b}{2 a} = - \frac{12}{4} = - 3$
y-coordinate of vertex:
$y \left(- 3\right) = 18 - 36 - 7 = - 25$
Vertex form: $y = {\left(x + 3\right)}^{2} - 25$