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Transformations Sprinkler

Transformations Sprinkler
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2015-05-15 00:47
AngleFunctionTransformation
In collections Transformation Creations Quadratic Functions
This example demonstrates the concept of transformations, using a sprinkler to illustrate translations, rotations, and scaling. Key mathematical concepts include translations, rotations, scaling, and angles. It utilizes GeoGebra commands such as Translate, Rotate, and Scale. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. f(x) = x^(2)
  2. Numeric a(1)
  3. g(x) = ((a * x))^(2)
  4. Numeric b(1)
  5. h(x) = ((b * x))^(2)
  6. Numeric c(1)
  7. p(x) = ((c * x))^(2)
  8. Numeric d(1)
  9. q(x) = ((d * x))^(2)
  10. Numeric j(1)
  11. r(x) = ((j * x))^(2)
  12. Numeric k(1)
  13. s(x) = ((k * x))^(2)
  14. Numeric l(1)
  15. t(x) = ((l * x))^(2)

AI Drawing Prompt Reference

Draw a parabola starting with the basic parabola y=x^2. Then, use different coefficients a, b, c, d to draw y=ax^2, y=bx^2, y=cx^2, y=dx^2. Next, use coefficients j, k, l to draw y=jx^2, y=kx^2, y=lx^2. Finally, show the transformation relationships among these parabolas.
The prompt above was compiled from the original drawing commands and is for reference only.