Find the vertex of the parabola whose equation is y = x2 + 8x + 12.

We will transform the equation to the vertex form:

y = x² + 8 x + 12 = x² + 8 x + 16 - 16 + 12 =

= (x + 4) ² - 4

Vertex form is: y = a (x - k) ² + h

Vertex coordinates are: ( - 4, - 4).