Exploring Conic Sections
STUDENTS:
Explore the following applet. Follow the instructions given in the questions to answer the questions located below this applet.
1.
Note the equation of the plane is z = some constant. Change the equation of this yellow plane to z = 2. Then change it to z = 1. Then change it to z = 4. How would you describe the intersection of this plane and double-napped cone?
2.
Change the equation of the plane to . How would you describe the intersection of this plane and double-napped cone now?
3.
Change the equation of the plane to . How would you describe the intersection of this plane and double-napped cone now?
4.
Change the equation of the plane to . How would you describe the intersection of this plane and double-napped cone now?