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Cubic Function Transformations by Danielle

Cubic Function Transformations by Danielle
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2016-09-12 06:33
FunctionTransformationSlider AnimationGraphing
This example demonstrates the translation of cubic functions using sliders, helping students understand the patterns of function graph transformations. It utilizes function objects and slider animations in GeoGebra. Suitable for high school mathematics education, particularly in function transformations and graph understanding.

GeoGebra Commands & Parameters

  1. f(x) = x^(3)
  2. Numeric a(1.0)
  3. Numeric h(0.0)
  4. Numeric k(0.0)
  5. (h, k)
  6. x = h
  7. g(x) = a * (x - h)^(3) + k

AI Drawing Prompt Reference

Draw a cubic function graph and use sliders to adjust the translation and scaling. Start with the basic cubic function y=x^3, then add three sliders to control the scaling factor a, horizontal shift h, and vertical shift k. Use these sliders to dynamically change the position and shape of the function graph, observing the pattern of graph transformations.
The prompt above was compiled from the original drawing commands and is for reference only.