Explore systems of nonlinear equations

Explore systems of equations with one linear and one nonlinear equation. Use the blue sliders to change the quadratic equation. Use the purple sliders to change the linear equation. Explore when there is 1 solution, 2 solutions, or no solution to the systems.

1. What do the graphs look like when there is there 1 solution to the system? 2. What do the graphs look like when there are there 2 solutions to the system? 3. What do the graphs look like when there is no solution to the system?