Conic Sections: Introduction

TO EXPLORE IN AUGMENTED REALITY:

1) Open up GeoGebra 3D app on your device. 2) Go to MENU, OPEN. Under SEARCH, type tmyenvzy. Note these characters can be found in the URL above.

STUDENTS:

Once you're all set up, please answer the questions located below this applet.

1.

Note the equation of the plane is z = mx+p. 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?