Quadratic Function Vertex Form Demonstration
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Graphing quadratic equations
This example demonstrates the graph of the quadratic function y=(x-h)^2+k and the movement of its vertex. Key math concepts include quadratic functions, vertex coordinates, and geometric transformations. It uses GeoGebra commands/objects like k (vertex y-coordinate), h (vertex x-coordinate), and c (auxiliary line). Suitable for high school students learning function graph transformations.
GeoGebra Commands & Parameters
Numeric k(-2.0)Numeric h(6.0)y = (x - h)^(2) + k
AI Drawing Prompt Reference
Graph the quadratic function y=(x-h)^2+k with vertex y-coordinate -2 and x-coordinate 6, showing the locus of the vertex movement and including an auxiliary line to illustrate geometric transformations.
The prompt above was compiled from the original drawing commands and is for reference only.