Create a Quadratic Equation given the Vertex and a Point

This example demonstrates how to determine the quadratic equation of a parabola given its vertex and a point on the parabola. It involves core math concepts like quadratic functions, vertex form, and coordinate geometry. The construction uses commands such as Random and objects like Vertex, Point, Slider, function f, and coefficients a, h, k. It is suitable for high school students learning about the graph and properties of quadratic functions, ideal for classroom instruction or self-study.