MathPlotAI Logo MathPlotAI

Quadratic Locus with Dynamic Coordinates

Quadratic Locus with Dynamic Coordinates
Loading the math board and drawing, please wait…
2014-05-29 16:24
FunctionCoordinate GeometryLocus
In collections Locus Line Equations demos
This example constructs a parabola using the synthetic definition and demonstrates a smooth animation with dynamic coordinates. It covers the concept of quadratic loci, dynamic coordinates, and the locus equation. GeoGebra commands used include DynamicCoordinates, Line, Point, OrthogonalLine, LineBisector, Intersect, Locus, and LocusEquation. Suitable for high school mathematics education and learning about quadratic curves.

GeoGebra Commands & Parameters

  1. DynamicCoordinates(A', round(x(A')), round(y(A'))) → A
  2. DynamicCoordinates(B', round(x(B')), round(y(B'))) → B
  3. DynamicCoordinates(C', round(x(C')), round(y(C'))) → C
  4. Line(A, B) → a
  5. Point(a) → D
  6. OrthogonalLine(D, a) → c
  7. LineBisector(C, D) → b
  8. Intersect(b, c) → E
  9. Locus(E, D) → loc1
  10. LocusEquation(E, D) → p