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Function Transformation f(k·x) Example

Function Transformation f(k·x) Example
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2023-03-18 21:01
FunctionTransformationGeometric Construction
In collections geometriadinamica.es
This example demonstrates how the function graph transforms under scaling with coefficient k. Key math concepts include function transformation, linear scaling, and graphical change patterns. Construction highlights use of GeoGebra commands like Point and Segment for key points T1, T3, T4, defining variable k, function f, and points A, B, C, e, a. Suitable for high school mathematics teaching to understand function transformation properties.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Segment(C, A) → e
  3. Segment(A, B) → a

AI Drawing Prompt Reference

Draw the graph of a function f(x) and observe its transformation by changing the coefficient k. First, find a point A on the graph of f(x), then draw a line segment e from point C to A, and another line segment a from A to B.
The prompt above was compiled from the original drawing commands and is for reference only.