# Introduction to Conic Section

- Author:
- Sangeeta Gulati, Tim Brzezinski

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?