Constructing a Parabola with Focus and Directrix

This GeoGebra example demonstrates how to construct a parabola from its focus and directrix, showing that every point on the curve is equidistant from the focus and the directrix. It covers parabola definition, focus, directrix, perpendicular distance, midpoint, segment, intersection, angle, and circle-based auxiliary construction. The construction uses Line and OrthogonalLine to create the directrix and perpendicular reference, Point, Segment, Midpoint, and Intersect to build key points and distance relationships, Circle and Angle to support the equal-distance idea, and Parabola to generate the curve with text labels. Suitable for secondary-school coordinate geometry, conic sections, and geometric construction lessons.