In the xy-plane, the graph of y = x2 and the circle with center (0,-2) and radius 2 have how many points of intersection?
The graph of y = x2 has its lowest point at its vertex (0,0).
The graph of the circle with center (0,-2) and radius 2 has its highest point at (0,0).
Thus, the only point of intersection is the point (0,0).
If you are faced with problems like this, probably the easiest way to solve them is to graph them.