Let $f\left(x\right) = x^{2}$ and let $g\left(x\right) = −x^{2} + 2x + 4$.

1. Find the points where the graphs of $f\left(x\right)$ and $g\left(x\right)$ intersect.

   Hint (a):

   Set the two functions equal to each other. Solve for $x$. You should get two values for $x$.
   Then solve for the $y$-coordinate for each $x$.

2. Use your AREA program to find the area of the region between the graphs. Think before you start pushing buttons.