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Function Dilation Matcher

Function Dilation Matcher
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2017-09-13 23:12
FunctionTrigonometryCoordinate GeometryTransformation
This example demonstrates the dilation transformation of function graphs and its coordinate changes. It involves core math concepts like dilation, coordinate geometry, trigonometric functions, and similarity transformation. Construction highlights include commands like RandomElement, Textfield, and objects such as f, a, b, a', b', InputBox1, InputBox2, button1, g, c, text1, text2, p, right, text3. It is suitable for high school mathematics teaching to understand function transformations and coordinate relationships.

GeoGebra Commands & Parameters

  1. RandomElement({-2, -1, 1, 2}) → a
  2. RandomElement({-2, -1, -0.5, 0.5, 1, 2}) → b
  3. Textfield(a') → InputBox1
  4. Textfield(b') → InputBox2

AI Drawing Prompt Reference

Create a visual example of function graph dilation transformation, highlighting core math concepts like dilation, coordinate geometry, trigonometric functions, and similarity. Randomly generate two scaling factors and display them in input boxes to observe how function graphs scale based on these factors, with annotations showing coordinate changes.
The prompt above was compiled from the original drawing commands and is for reference only.