Quadratic Function Transformations by Mary Kolojejchick (2)
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This example demonstrates the effects of transformations on quadratic function graphs, involving core concepts like quadratic functions, translations, and graphing. It uses GeoGebra commands/objects: a (coefficient), h (horizontal shift), k (vertical shift), c (vertex y-coordinate), d (auxiliary variable). Suitable for high school mathematics teaching to understand function graph transformation rules.
GeoGebra Commands & Parameters
Numeric a(1)Numeric h(0)Numeric k(0)y = (a * (x - h)^(2)) + ky = x^(2)
AI Drawing Prompt Reference
Draw the graph of a quadratic function to illustrate the effect of the coefficient on the parabola's opening, and the impact of horizontal and vertical shifts on the graph's position. Start with the standard quadratic function graph, then adjust the image's opening size by changing the coefficient, and observe how horizontal and vertical shifts affect the shape and position of the function graph.
The prompt above was compiled from the original drawing commands and is for reference only.