Create Quadratic Given Vertex and a Point

This example demonstrates how to draw a quadratic function graph based on a given vertex and a point. Key math concepts include quadratic functions, vertex coordinates, function formulas, and vector operations. Construction highlights involve using GeoGebra commands like Random, RandomElement, Text, If, and Textfield to calculate parameters a, h, k from input vertex and point coordinates, then plotting the function and auxiliary elements. Suitable for high school students and teachers for learning and demonstration purposes.