Demonstrating Purple Parabola and Function Properties

This example illustrates the properties of a parabola, roots, step functions, linear regression, cubes, and angles. It involves core mathematical concepts such as quadratic functions, function roots, linear regression models, cube volume calculations, and angle measurements. The construction uses GeoGebra commands and objects like a, b, c, d, P1-P12, text1, text2 for parameterized creation, including parabola definition, root finding, step function plotting, linear regression analysis, cube modeling, and angle labeling. Suitable for high school mathematics teaching, covering function graph analysis, data fitting, and geometric transformations.