Predicting Possible Collisions Using Nonlinear Equations

This lesson teaches how to write and solve systems of nonlinear equations using graphs of quadratic equations. It covers the basics of quadratic equations, including circles, ellipses, parabolas, and hyperbolas. The lesson uses a real-world scenario involving a tour boat and a fishing boat to illustrate the application of these equations. The tour boat follows an elliptical path, while the fishing boat follows a parabolic path. By graphing these paths, the lesson assesses the risk of collision between the boats, identifying potential collision points. The lesson concludes with a review of the key concepts and equations used.

What are the coordinates of the vertex of the fishing boat's parabolic path?

Explain the significance of the negative intersection point found in the lesson.