Locus of a Parabola: Dynamic Geometric Construction

This GeoGebra example demonstrates the formation of a parabola as a locus of points satisfying a specific geometric condition. The core mathematical concept is the definition of a parabola: the set of all points equidistant from a fixed point (focus) and a fixed line (directrix). The construction uses commands such as Line, Point, OrthogonalLine, Segment, Midpoint, Intersect, and Angle to build the geometric framework, and the locus tool to trace the curve. It is suitable for middle and high school students learning analytic geometry and conic sections, providing an intuitive visual understanding of how the parabola emerges from dynamic relationships and how parameters affect its shape.