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Transformations Curtain

Transformations Curtain
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2015-05-14 05:14
FunctionTransformationSlider Animation
In collections Transformation Creations Quadratic Functions
This example demonstrates the effects of transformations, involving piecewise functions and congruence concepts. By adjusting parameters, you can observe how the transformation affects the shape of the graph. Mainly using functions, transformations, and slider animation commands in GeoGebra. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. f(x) = x^(2)
  2. Numeric a(0)
  3. g(x) = (x - a)^(2)
  4. Numeric b(0)
  5. h(x) = (x - b)^(2)
  6. Numeric c(0)
  7. p(x) = (x - c)^(2)
  8. Numeric d(0)
  9. q(x) = (x - d)^(2)
  10. Numeric j(0)
  11. r(x) = (x - j)^(2)
  12. Numeric k(0)
  13. s(x) = (x - k)^(2)
  14. Numeric l(0)
  15. t(x) = (x - l)^(2)

AI Drawing Prompt Reference

Draw a parabola opening upwards, then move it to the right along the x-axis by 0, 0.5, 1, and 1.5 units, resulting in four different parabolas. Next, move these four parabolas to the left along the x-axis by 0, 0.5, 1, and 1.5 units, resulting in eight different parabolas.
The prompt above was compiled from the original drawing commands and is for reference only.