Locus Construction for a Parabola

This GeoGebra example demonstrates how to construct the locus associated with a parabola: as the underlying conditions vary, the set of points defined by the geometric constraints traces out a parabola-like curve. The key mathematical ideas are locus (locus of points), the defining geometric properties of a parabola, and how coordinate-free geometric constraints can be translated into a curve via successive constructions. Construction highlights: Point is used to create key points (e.g., F, D, A, B), OrthogonalLine provides perpendicular constraints, LineBisector builds the bisector/axis relationship that drives the parabola condition, Intersect computes new points from intersections of constructed lines, and Segment is used to visualize the related geometric elements (objects such as f, g, h, i, j). Suitable for advanced middle school through early university learners, especially for lessons on locus methods and geometric constructions leading to function/curve graphs.