# How do you graph #f(x)=2(x+1)^2-2#?

##### 1 Answer

Aug 4, 2015

Graph f(x) = 2(x + 1)^2 - 2.

#### Explanation:

The function is expressed in vertex form.

To graph a quadratic function, we need a few critical points: vertex, axis of symmetry, y-intercept, and x-intercepts.

Vertex (-1, -2)

Axis of symmetry: x = -1

y-intercept: x = 0 --> y = 2 - 2 = 0

x-intercepts: y = 0 --> 2(x + 1)^2 = 2 --> x = 0 and x = -2.

graph{2(x + 1)^2 - 2 [-10, 10, -5, 5]}