Intro to Conic Sections. It all depends on how you slice it! Start with a cone:

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Presentation transcript:

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!

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

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

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