Generating a Parabola from Focus and Directrix

This example demonstrates how to define a parabola using its focus and directrix, visually illustrating its geometric properties. Key math concepts include the definition of a parabola, coordinate geometry, and geometric construction. Construction highlights involve using GeoGebra commands like Line, Point, OrthogonalLine, Segment, Midpoint, and Intersect to build the relationship between the focus, directrix, and any point on the parabola. Suitable for high school coordinate geometry instruction or exploration by math enthusiasts.