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X-Stretch Transformation

X-Stretch Transformation
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2013-08-13 12:23
FunctionCoordinate GeometryTransformation
This example demonstrates the X-stretch transformation of a function, specifically in the form of y=f(kx). Key mathematical concepts include function transformation and proportional relationships. Using commands like If and Intersect, the parameter k can be dynamically adjusted to observe changes in the function graph. Suitable for high school mathematics education and learning, particularly in coordinate geometry and function transformation.

GeoGebra Commands & Parameters

  1. If(k < 0, (-k)) → c
  2. Intersect(f, xAxis) → E, F
  3. Intersect(f, yAxis) → G

AI Drawing Prompt Reference

Draw the graph of the function y=f(kx), where k is a dynamically adjustable parameter. First, take the opposite of k when k is less than 0. Then, find the intersection points of the function graph with the x-axis and y-axis to observe the x-stretch transformation effect.
The prompt above was compiled from the original drawing commands and is for reference only.