Parabola with Focus and Directrix by Tosha Kelsey
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This example demonstrates the geometric definition of a parabola as the locus of points equidistant from a fixed point (focus) and a fixed line (directrix). Key math concepts include parabola definition, coordinate geometry, and distance formulas. Construction involves commands like Point, Segment, LineBisector, OrthogonalLine, Intersect, and Textfield to create the focus, directrix, and a moving point, with Intersect to find critical intersections. Suitable for high school mathematics education to visually connect the geometric definition with algebraic expressions of parabolas.
GeoGebra Commands & Parameters
Point(d) → DSegment(F, D) → fLineBisector(F, D) → lOrthogonalLine(D, d) → gIntersect(l, g) → PTextfield(F) → InputBox1Textfield(d) → InputBox2Textfield(g) → InputBox3Textfield(D) → InputBox4Textfield(d) → InputBox5