Using Intersections to Solve Equivalent Functions Practice Test

Define $f(x)=|x-2|$ and $g(x)=x^2-4$. How many solutions does $f(x)=g(x)$ have? (You may use a graphing calculator to count intersection points.)

A student graphs $y=f(x)$ and $y=g(x)$ and sees they intersect at the point $(4,7)$. Which equation must be true?​