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• Create Date December 3, 2014
• Last Updated December 28, 2021

Parabola Cheat Sheet

Parabola Cheat Sheet

Concepts Covered

• Standard Equation
• Equations with axes parallel to the coordinate axes
• Equations with known focus and directrix
• Parametric Equation
• Position of a point with respect to a Parabola
• Equation of Tangents: Slope Form, Point Form and Parametric Form
• Point of Intersection of Tangents
• Pair of Tangents from an external point
• Equation of a Normal: Slope Form, Point Form and Parametric Form
• Point of Intersection of Normals
• Three Normals from a Point
• Equation of a Chord with known end points
• Equations of a Chord with known mid point
• Equation of Chord of Contact
• Some relations related to parametric equations
• Some properties of the Parabola