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Rotated Parabola Demo by MathArtRealLife

Rotated Parabola Demo by MathArtRealLife
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2018-07-01 17:49
FunctionCoordinate Geometry
This example demonstrates the geometric shape and properties of a rotated parabola. It involves core mathematical concepts such as function graphs, coordinate geometry, and geometric transformations. Key GeoGebra commands/objects used include Point, Rotate, etc. Suitable for high school and above students to learn about spatial geometry and function transformations.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Rotate(f, 45°, A) → f_1
  3. Rotate(f_1, 45°, A) → a
  4. Rotate(a, 45°, A) → a'
  5. Rotate(a', 45°, A) → a''
  6. Rotate(a'', 45°, A) → a'''
  7. Rotate(a''', 45°, A) → b
  8. Rotate(b, 45°, A) → b'
  9. Rotate(b', 45°, A) → b''