Question

Use the image to answer the question.

A solid concave up parabola and a dotted concave up parabola are plotted in a coordinate plane. The x-axis ranges from negative 3 to 3 in 1-unit increments and the y-axis ranges from 0 to 20 by increments of 2.

How many real solutions are there for the system of equations graphed on the coordinate plane?

(1 point)
solutions

Answer 1

To determine the number of real solutions for the system of equations represented by the solid concave up parabola and the dotted concave up parabola, we need to identify the points at which the two parabolas intersect.

In general, real solutions correspond to the intersection points of the two curves.

If the parabolas intersect at:
- Two points, there are 2 real solutions.
- One point, there is 1 real solution.
- No points, there are 0 real solutions.

(Without the visual aid, I am unable to provide the exact number of intersections.) However, if you look at the given graph of the two parabolas, count the number of times they cross each other to determine the number of real solutions.

If you can provide details about their points of intersection, I can confirm the number of real solutions for you. Otherwise, please carefully analyze the graphic to draw your conclusion.