Which class is this?

If it's post-algebra2, won't they just substitute the equation of the parabola into the equation of the circle, then solve for x? This seems like a 10 minute ordeal at best for an honors class.

Idea: Perhaps they need to find the above intersection in a set of intersection problems. circle with linear, circle with quadratic, circle with other circle, etc.

Useful idea:

- Given the any two of the above objects, what is the fewest|exact|largest number of intersections? Sketch examples of each case.