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Explore Transformations of Horizontal Parabolas

Explore Transformations of Horizontal Parabolas
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2022-08-20 17:20
FunctionCoordinate GeometryTransformation
This example demonstrates transformations of horizontal parabolas. Key mathematical concepts include the properties of parabolas and their transformations. Using GeoGebra commands such as FractionText, Simplify, PolyLine, and Midpoint, the example dynamically shows the translation and scaling of parabolas. Suitable for high school mathematics education, particularly for learning coordinate geometry and function transformations.

GeoGebra Commands & Parameters

  1. FractionText(rise / runsqrd) → text1
  2. Simplify(x - x(A)) → f
  3. PolyLine(A, (x(A), y(B)), B) → a
  4. Midpoint(A, (x(A), y(B))) → C
  5. Midpoint(B, (x(A), y(B))) → D
  6. Simplify(y - y(A)) → ff

AI Drawing Prompt Reference

Draw a graph of a horizontal parabola, showing its basic shape and key points. Include the vertex, focus, and directrix, and their distance relationships. The construction order is to first draw the parabola, then mark the vertex, focus, and directrix, and finally show transformations such as translation and scaling.
The prompt above was compiled from the original drawing commands and is for reference only.