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Vertical Transformations of Exponential Functions

Vertical Transformations of Exponential Functions
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2014-11-24 18:52
FunctionTransformationInequality
This example demonstrates the vertical transformations of exponential functions. Key mathematical concepts include the properties of exponential functions. Using GeoGebra commands like CompleteSquare, Root, and Factors, you can observe how the function graph changes. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. CompleteSquare(f) → CompSq
  2. Root(f) → xints_1, xints_2
  3. Factors(f) → fctrs
  4. Element(fctrs, 1, 1) → fctr1
  5. Element(fctrs, 2, 1) → fctr2
  6. Element(fctrs, 3, 1) → fctr3
  7. Corner(1, 1) → Cnr1
  8. Corner(1, 2) → Cnr2
  9. Corner(1, 3) → Cnr3
  10. Corner(1, 4) → Cnr4
  11. Polygon(CN1, CN2, CN3, CN4) → Panel, cn1, cn2, cn3, cn4
  12. Polygon(Cnr1, Cnr2, Cnr3, Cnr4) → Frame, cnr1, cnr2, cnr3, cnr4

AI Drawing Prompt Reference

Draw the vertical transformations of an exponential function and demonstrate its properties. Start by inputting an exponential function, then use the CompleteSquare, Root, and Factors commands to observe how the function graph changes, and finally construct a panel with the transformed function graph using the results of these commands.
The prompt above was compiled from the original drawing commands and is for reference only.