Parabola Focus & Directrix

Parabola Focus & Directrix
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2014-11-14 00:56
This example demonstrates the geometric relationship between any point on a parabola, its focus, and directrix, illustrating key concepts like parabola definition, focus, directrix, and eccentricity. It is constructed using GeoGebra commands such as Point, Intersect, OrthogonalLine, and Segment to dynamically visualize and calculate relevant distances, making it suitable for high school coordinate geometry instruction or student exploration of parabolic properties.

GeoGebra Commands & Parameters

  1. Point(d_1) → P
  2. Intersect(d_1, d) → B,
  3. OrthogonalLine(P, Directrix) → e
  4. Intersect(Directrix, e) → D
  5. Segment(P, D) → g
  6. Segment(P, Focus) → h