Smile with Parabolas
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This example demonstrates how parabolas can be combined dynamically to form a smile shape. It involves core math concepts like functions, coordinate geometry, symmetry, and parameter adjustment. GeoGebra commands such as Function are used to plot basic parabolas, with objects t, f, g, h, a for parameterized control and animation. Suitable for high school students to understand function transformations and the impact of parameters on shape, ideal for math visualization education.
GeoGebra Commands & Parameters
Function(t / 2 * x^(2), -1, 1) → fFunction((t - 1) / 2 * x^(2) + 0.5, -1, 1) → gFunction((t - 0.5) / 2 * x^(2) + 0.25, -1, 1) → h