Introduction to Conic Section

Write your name and section.

Before we explore conic section types analytically, let's explore them first in GeoGebra 3D Graphing Calculator app!

1.

Note the equation of the plane is z = some constant. Change the equation of this pink 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 cone?

2.

Change the equation of the plane to . How would you describe the intersection of this plane and cone now?

3.

Now change the equation of the plane to . How would you describe the intersection of this plane and cone now?

4.

Change the equation of the plane to . How would you describe the intersection of this plane and cone now?

Also: Quick Summary of All Conic Section Types & How They're Formed