Conic sections

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This page describes the various two dimensional conic sections that can be obtained.[1]

Concept #1 Conic sections

Learning objectives

1. Conic Sections are figures that can be formed by slicing a three dimensional right circular cone with a plane.
2. There are different ways to do this, and each way yields a different figure.
3. These figures can be represented on the graph as well as algebraically.
4. The four conic sections are circles, ellipses, parabolas, and hyperbolas.

Notes for teachers

1. The general equation for all conics is $Ax^{2}+Bxy+Cy^{2}+Dx+Ey+F=0$
2. If $B^{2}-4AC<0$ then the curve is an ellipse, circle, point or no curve.
   
3. If $B^{2}-4AC=0$ then the curve is a parabola,2parallel lines, 1 line or no curve.
   
4. If $B^{2}-4AC>0$ then the curve is a hyperbola or 2 intersecting lines.
   

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Concept #2 Hyperbola

Learning objectives

1. Introduction to the form of a hyperbola

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Concept #3. PARABOLA

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Concept #4 ELLIPSE

Learning objectives

1. Introduction to the form of a hyperbola

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