Answer
0, 1, 2, 3, or 4 solutions
Work Step by Step
Please see the screenshots.
The first screenshot is the circle with the formula $x^2+y^2=1$. The second screenshot (in the first image) is the circle with the aforementioned formula and the graph of $y=x^2+2$. There are no intersecting points on the graph.
In the second image, there are four screenshots. In order, from upper left image to bottom right image, are examples of systems of equations with one, two, three, and four solutions.
All four screenshots have the same circle ($x^2+y^2=1$). The first screenshot has a parabola with the equation $y=x^2+1$. The second screenshot has a parabola with the equation $y=x^2$. The third screenshot has a parabola with the equation $y=x^2-1$. The fourth screenshot has a parabola with the equation $y=2x^2-1$.
