Quadratic Function Transformation Demo
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This example demonstrates the effects of translations and scalings on quadratic function graphs. It involves core concepts like quadratic function transformations, vertex coordinate changes, and the impact of parameters a and c on the graph's shape and position. The construction uses commands like Parent for the base function, sliders h and k for translations, and parameters a and c for scalings, with text elements for annotations. Suitable for high school mathematics education to visually explain function transformation rules.
GeoGebra Commands & Parameters
y = x^(2)Numeric h(0)Numeric k(0)Numeric a(1)y = (a * (x - h)^(2)) + k
AI Drawing Prompt Reference
Draw a quadratic function graph with the initial equation y=x². Add two sliders to control horizontal and vertical translations, both set to 0 initially. Then add a slider to control the coefficient of the quadratic term, set to 1 initially. Finally, translate the initial quadratic function graph horizontally by the distance of slider h, vertically by the distance of slider k, and scale it by the factor of slider a to get the final quadratic function graph y=a*(x-h)²+k.
The prompt above was compiled from the original drawing commands and is for reference only.