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Parabola Exploration by Martin Cardenas

Parabola Exploration by Martin Cardenas
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2017-04-12 00:57
Probability & Statistics
This example demonstrates the properties of parabolas and their reflection characteristics. Key mathematical concepts include parabolas, reflection, and normal distribution. Using GeoGebra commands such as Line, OrthogonalLine, Intersect, etc., the construction of parabolas and related elements is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → DIRECTRIX
  2. OrthogonalLine(Focus, DIRECTRIX) → a
  3. Intersect(a, DIRECTRIX) → C
  4. Segment(Focus, C) → e
  5. Midpoint(Focus, C) → Vertex
  6. OrthogonalLine(Vertex, DIRECTRIX) → h
  7. Segment(Focus, F) → j
  8. OrthogonalLine(F, DIRECTRIX) → k
  9. Intersect(DIRECTRIX, k) → D
  10. Segment(F, D) → l
  11. Distance(Focus, Vertex) → distanceFocusm
  12. Intersect(DIRECTRIX, h) → E
  13. Distance(Vertex, E) → d
  14. Segment(Focus, Vertex) → n
  15. Segment(Vertex, E) → p
  16. Distance(j, l) → b
  17. Angle(Vertex, E, A) → β
  18. Point(DIRECTRIX) → G
  19. Angle(F, D, G) → α