Parabola Focus Demonstration

This example demonstrates the focus of a parabola and its geometric properties. It involves core mathematical concepts such as the definition of a parabola, focus, directrix, coordinate geometry, derivatives, and geometric construction. Key construction steps use GeoGebra commands and objects like OrthogonalLine, Intersect, Tangent, Ray, and Mirror to build the parabola and related elements. Suitable for high school and above students to learn about the definition and properties of parabolas, as well as for teaching calculus and coordinate geometry.