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Transforming Quadratics

Transforming Quadratics
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2019-02-27 20:42
FunctionCoordinate GeometryTransformation
This example demonstrates transformations of quadratic functions, including translation, dilation, and reflection. By adjusting parameters a, h, and k, the shape of the quadratic function's graph can be observed. The Extremum command is used to find the extremum points of the function. Suitable for high school mathematics education and learning about quadratic function transformations.

GeoGebra Commands & Parameters

  1. Extremum(r) → A
  2. Extremum(g) → C
  3. Extremum(p) → D
  4. Extremum(q) → E

AI Drawing Prompt Reference

Draw a coordinate plane with four quadratic function graphs in different colors. One is the base parabola, and the other three are transformed versions via translation, dilation, and reflection. Mark the vertex (extremum point) of each parabola with a solid dot. Clearly show the direction of opening, axis of symmetry, and how vertex positions change with parameters. The layout should facilitate observing transformation patterns for high school teaching.
The prompt above was compiled from the original drawing commands and is for reference only.