Question

The graph of F(x), shown below, has the same shape as the graph ofG(x) = x - x? Which of the following is the equation of F(x)?F(x) = ?

Answer 1

The graph of G(x) is symmetric with respect to the y-axis. It also passes through the origin.

Since the graph of F(x) moved 4 units upward, we must add 4 to the right of the equation. Thus, the equation of F(x) is as follows.

`F(x)=x^4-x^2+4`