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Parabola Reflection

Parabola Reflection
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2017-10-04 02:51
FunctionCoordinate GeometryTransformation
This example demonstrates the reflection of a parabola. Key mathematical concepts include parabolas and reflections. Using GeoGebra commands such as Line, Parabola, Point, Vector, Translate, OrthogonalLine, Intersect, Segment, and Tangent, the construction of the parabola and its reflection is shown. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(D, E) → a
  2. Parabola(A, a) → c
  3. Point(c) → B
  4. Point(xAxis) → C
  5. Vector(A, C) → u
  6. Translate(B, u) → B'
  7. Vector(B, B') → v
  8. Vector(A, B) → w
  9. OrthogonalLine(B, a) → b
  10. Intersect(b, a) → F
  11. Segment(B, F) → d
  12. Tangent(B, c) → e,