Question

Can someone help me with my algebra?

Answer 1

The top graph

Solutions:

-2

0

Explanation:

The given quadratic function in factored form is

`f(x) = - (x + 2)(x - 2)`

This is a parabola that has x-intercepts at (-2,0) and (2,0)

This parabola opens downward because the leading coefficient is less than 1.

The second function is

`g(x) = 2 |x + 2|`

This is an absolute value function with vertex at (-2,0).

Therefore the graph that shows the solution to f(x)=g(x) is the top graph.

Hence the solution is x=-2,x=0