How to Form a Parabola

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2015-12-14 23:07

Coordinate Geometry Geometric Construction

In collections Conic Section: Parabola

This example demonstrates how to construct a parabola using its focus and directrix. Key math concepts include parabola definition, coordinate geometry, and geometric construction. It utilizes GeoGebra commands like Segment, Point, OrthogonalLine, Midpoint, Intersect, and Angle. Suitable for high school students learning about parabolic properties and definitions.

GeoGebra Commands & Parameters

Segment(A, B) → Directrix
Point(Directrix) → D
OrthogonalLine(D, Directrix) → b
Segment(Focus, D) → c
Midpoint(Focus, D) → E
OrthogonalLine(E, c) → d
Intersect(d, b) → F
Angle(Directrix, b) → α
Angle(c, d) → β