Parametric Variations of Parabola

Parametric Variations of Parabola
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2016-09-01 14:20
This example demonstrates the parametric form of a parabola and its variations, involving core concepts like parametric equations, coordinate geometry, and matrix transformations. It utilizes GeoGebra commands such as a, t, at, A, B, text objects, and sliders. Ideal for high school students and educators exploring the applications of parametric equations in conic sections.

GeoGebra Commands & Parameters

  1. 3
  2. Numeric t(0.43)
  3. (a * t)
  4. ((-2 * at), at^(2))
  5. ((-2 * at), (-at^(2)))
  6. ((2 * at), at^(2))
  7. ((2 * at), (-at^(2)))
  8. Boolean b(true)
  9. Boolean c(true)
  10. Boolean d(true)
  11. Boolean e(true)