Question

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

Answer 1

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]}