1. Intro to Conic Sections

2. It all depends on how you slice it! Start with a cone:

3. IF we slice the cone, parallel to the base, what do we get? A Circle!

4. IF we slice the cone at an angle, what do we get now? An Ellipse!

5. IF we just take a slice from the lateral face of the cone, what do we get? A Parabola!

6. Finally, let’s take a slice from the lateral face, perpendicular to the base A Hyperbola!

7. These shapes are called Conic Sections. We can use Algebra to describe the equations and graphs of these shapes.