Question

how many solutions exist for the system of equations in the graph? graph of a circle and a parabola options: one, two, three, four

Explanation:

Step1: Understand solution definition

A solution to a system of equations (represented graphically) is a point where the graphs intersect. So we need to count the number of intersection points between the parabola (the U - shaped graph) and the circle.

Step2: Count intersection points

Looking at the graph, we can see that the parabola and the circle intersect at three distinct points. One intersection is on the left - hand side of the y - axis, and two intersections are on the right - hand side (or we can just visually inspect and count the number of times the two graphs cross each other).

Answer:

three