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Intro to Conic Sections

Intro to Conic Sections. It all depends on how you slice it!. Start with a cone:. IF we slice the cone, parallel to the base, what do we get?. A Circle!. IF we slice the cone at an angle, what do we get now? . An Ellipse! .

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Intro to Conic Sections

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  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.

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