- Students will be able to describe the characteristics of the graphs of equations of the form |(x/a)|n + |(y/b)|n = 1 for various values of n.
- Students will be able to describe the characteristics of the graphs of equations of the form √((x-a)2+y2)*√((x+a)2+y2) = b2 when a = 4 and b varies.
- Cassini oval
About the Lesson
This lesson involves exploring the curves that result from varying the defining conditions of an ellipse.
As a result, students will:
- Analyze the properties of the graphs and equations of superellipses and Cassini ovals.
- Analyze the derivations of the parametric representation of a superellipse and the polar representation of a Cassini oval.