Vertex Form
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This example demonstrates the vertex form of a quadratic function. It involves core concepts of quadratic functions, adjusting parameters a, h, and k to change the direction of the parabola and its vertex position. GeoGebra objects a, h, k, button1, f, g, and text1 are used in its construction. Suitable for high school mathematics education and learning the properties of quadratic functions.
GeoGebra Commands & Parameters
Numeric a(1)Numeric h(1)Numeric k(2)f(x) = (a * (x - h)^(2)) + kg(x) = (a * (x - h)^(2)) + k
AI Drawing Prompt Reference
Draw a quadratic function in vertex form, including parameters a, h, and k. Adjust parameters a, h, and k to change the direction of the parabola and its vertex position. First, set parameter a to 1, h to 1, and k to 2, then plot the function f(x) = a*(x-h)^2 + k, and finally plot the function g(x) = a*(x-h)^2 + k.
The prompt above was compiled from the original drawing commands and is for reference only.