Use the substitution method to solve for the system of equations:
Circle: (x-h)² + (y-k)² = r²
Parabola: y = a(x-h)² + k or x = a(y-k)² + h
(I am using the "y=" parabola for this example)
Substitute a(x-h)² + k for y into the circle equation and solve for x:
(x-h)² + [(a(x-h)² + k)² - k]² = r²
Then, substitute that x value into the parabola equation to solve for y.
Hope this makes sense!