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Exploring Symmetry by M Braddock

Exploring Symmetry by M Braddock
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2015-09-03 20:40
FunctionTransformationGeometric Construction
This example demonstrates symmetry by entering functions and reflecting/rotating them. Key mathematical concepts include symmetry of functions. GeoGebra commands used include Mirror, Intersect, and Rotate. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Mirror(f, a) → f_1
  2. Mirror(f, b) → f_2
  3. Mirror(f, c) → f_3
  4. Intersect(xAxis, yAxis) → A
  5. Rotate(f, 180*°, A) → f_4
  6. Textfield(f) → InputBox1

AI Drawing Prompt Reference

Draw a function f and generate its symmetric images f_1, f_2, f_3 through mirroring. Then draw the intersection point A of the x-axis and y-axis, and rotate f around A to create f_4. Finally, input the expression of function f.
The prompt above was compiled from the original drawing commands and is for reference only.