CPM Homework Help : PC3 Problem 3-41

Let $f(x)=x^2$ and let $g(x)=-x^2+2x+4$ . Determine the points where the graphs of $y=f(x)$ and $y=g(x)$ 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 associated with each $x$ .