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Function Transformations by demattematicas

Function Transformations by demattematicas
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2014-07-14 19:21
FunctionCoordinate GeometryTransformation
This example illustrates transformations of functions such as translations, dilations, and reflections. Key mathematical concepts include function transformations and graphical transformations. Using GeoGebra commands like k, f, botón1, botón2, etc., it provides a visual demonstration of these transformations. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Numeric k(1.1)
  2. f(x) = ((-2 * sin(((7 * (x / 5)^(2)) * ℯ^(((-1) / 17 * x)))))) / (2 + cos((x * ℯ^(((-1) / 7 * x))))) + log(abs(x) + 1 / 2) + 2^(x) / (x^(4) + 1) - 1
  3. z(x) = f(x) + k
  4. Boolean a(false)
  5. Boolean b(true)
  6. p(x) = (k * f(x))
  7. Boolean c(false)
  8. r(x) = abs(f(x))
  9. Boolean d(false)
  10. Boolean e(true)
  11. g(x) = (k * x)
  12. t(x) = ((-2 * sin(((7 * (g(x) / 5)^(2)) * ℯ^(((-1) / 17 * g(x))))))) / (2 + cos((g(x) * ℯ^(((-1) / 7 * g(x)))))) + log(abs(g(x)) + 1 / 2) + 2^(g(x)) / (g(x)^(4) + 1) - 1
  13. Numeric lower(-2.0)
  14. Numeric upper(2.0)
  15. Boolean h(true)

AI Drawing Prompt Reference

Draw a complex function and its transformations including translations, dilations, and reflections. Show the original function and its transformations by vertical shifting, scaling, and absolute value reflection, all based on a adjustable parameter, clearly displayed in the same coordinate system.
The prompt above was compiled from the original drawing commands and is for reference only.