# What is the vertex of y=3x^2 + 12x + 5 ?

Jan 18, 2016

Vertex (-2, -7)

#### Explanation:

x-coordinate of vertex:
$x = - \frac{b}{2 a} = - \frac{12}{6} = - 2$
y-coordinate of vertex:
y(-2) = 12 - 24 + 5 = -7
Vertex (-2, -7)
graph{3x^2 + 12x + 5 [-20, 20, -10, 10]}