Vertex Form Exploration
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This example investigates the changes in the graph of a quadratic function in vertex form by varying the parameter 'a'. Key mathematical concepts include the vertex form of a quadratic function and transformations. It utilizes GeoGebra commands such as If, Extremum, and Slider.
GeoGebra Commands & Parameters
If(a ≟ 1, (x - xvertex)^(2) + yvertex, (a * (x - xvertex)^(2)) + yvertex) → fExtremum(f) → A