Dilations of a Quadratic Function by Brandon Olver
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This example demonstrates how to alter the shape of a quadratic function's graph through dilation transformations. Key math concepts include function graph transformations, geometric dilations, and the effect of parameters on function shape. GeoGebra commands used in the construction include objects a (dilation factor), c (vertex position), d (graph control), and text1, text1_1 (text annotations). Suitable for high school students learning about function transformations and analytical geometry.
GeoGebra Commands & Parameters
Numeric a(2.0)y = x^(2)Conic d
AI Drawing Prompt Reference
Draw a quadratic function graph, then change its shape through a dilation factor. The position of the graph's vertex is controlled by another parameter. First, draw the basic quadratic function y=x², then add a dilation factor, and observe how changing this factor alters the graph.
The prompt above was compiled from the original drawing commands and is for reference only.