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Parabola Art - Andrei M - 9D

Parabola Art - Andrei M - 9D
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2019-06-04 04:55
VectorFunctionTransformation
This example demonstrates artistic patterns generated through transformations of parabolas. Key mathematical concepts include parabolas and their transformations. It uses Vector, Translate, and Mirror commands for construction. Suitable for high school math education and students exploring properties of parabola transformations.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(B, A) → v
  3. Translate(u, v) → u'
  4. Translate(f, u') → f_1
  5. Translate(f_1, u') → g
  6. Translate(g, u') → g_1
  7. Mirror(f, yAxis) → f_2
  8. Mirror(f_2, yAxis) → a
  9. Mirror(f_1, yAxis) → b
  10. Mirror(g, yAxis) → g_2
  11. Mirror(g_1, yAxis) → c

AI Drawing Prompt Reference

Draw an artistic pattern generated through transformations of parabolas, showcasing key mathematical concepts of parabolas and their transformations. Use vector, translation, and mirror commands to construct: start with two vectors, translate the parabola using them to create multiple new parabolas, then mirror these parabolas across the y-axis to form a symmetric artistic design.
The prompt above was compiled from the original drawing commands and is for reference only.