Transformations of Quadratic Functions by Sally
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This example demonstrates transformations of quadratic functions, including translation, scaling, and rotation. By adjusting parameters a, k, and h, you can observe changes in the quadratic function graph. The core mathematical concepts involved include the properties and transformations of quadratic functions. The construction uses GeoGebra objects a, k, h, and f. Suitable for high school mathematics education and students learning quadratic function transformations.
GeoGebra Commands & Parameters
Numeric a(1)0Numeric h(0)f(x) = (a * (x - h)^(2)) + k
AI Drawing Prompt Reference
Draw a quadratic function graph and observe how it transforms through changes in parameters a, k, and h, representing translation, scaling, and rotation. Start by setting a to 1, then set h to 0, and finally input the function f(x) = a * (x - h)^2 + k. Adjust a, k, and h to see the changes in the graph.
The prompt above was compiled from the original drawing commands and is for reference only.