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Animated Rotation of Two Parabolas

Animated Rotation of Two Parabolas
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2018-07-01 17:37
FunctionTransformationGeometric Construction
This example demonstrates the animated rotation of two parabolas. Key mathematical concepts include parabolas, rotation, and intersection. Using GeoGebra commands such as Intersect and Rotate, the changes in the parabolas at different angles can be observed. Suitable for high school mathematics education or learning.

GeoGebra Commands & Parameters

  1. Intersect(f, xAxis, 1) → A
  2. Rotate(f, (-α), A) → f_1
  3. Rotate(f_1, (-α), A) → a
  4. Rotate(a, (-α), A) → a'
  5. Rotate(a', (-α), A) → a''
  6. Rotate(a'', (-α), A) → a'''
  7. Rotate(a''', (-α), A) → b
  8. Rotate(b, (-α), A) → b'
  9. Rotate(g, (-α), A) → g_1
  10. Rotate(g_1, (-α), A) → c
  11. Rotate(c, (-α), A) → c'
  12. Rotate(c', (-α), A) → c''
  13. Rotate(c'', (-α), A) → c'''
  14. Rotate(c''', (-α), A) → d
  15. Rotate(d, (-α), A) → d'