MathPlotAI Logo MathPlotAI

Horizontal Parabola

Horizontal Parabola
Loading the math board and drawing, please wait…
2017-08-01 03:11
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the construction of a horizontal parabola. It involves basic concepts of parabolas and uses GeoGebra commands such as Point, OrthogonalLine, and Intersect to construct key elements of the parabola, including its vertex, focus, and directrix. Suitable for high school mathematics education, it helps students understand the properties and geometric meaning of parabolas.

GeoGebra Commands & Parameters

  1. Point(Directrix) → A
  2. OrthogonalLine(A, Directrix) → l
  3. Intersect(Parabola, l) → B,
  4. Segment(A, B) → d_1
  5. Segment(B, Focus) → d_2
  6. Line(Focus, Vertex) → Axis
  7. OrthogonalLine(Focus, Axis) → b
  8. Intersect(Parabola, b) → C, D
  9. Segment(D, C) → LR