MathPlotAI Logo MathPlotAI

Constructing the Cartesian Parabola

Constructing the Cartesian Parabola
Loading the math board and drawing, please wait…
2015-03-16 01:00
FunctionCoordinate GeometryDerivative
This example demonstrates how to construct a parabola in the Cartesian coordinate system using GeoGebra. Key mathematical concepts include parabola, complex numbers, area, derivative, and slope. Using commands like Point, Line, Intersect, and Locus, the construction process is dynamically shown. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point({b, 0}) → A
  2. Point(d) → D
  3. Point({0, y(D) + a}) → B
  4. Line(B, A) → e
  5. Intersect(c, e, 2) → C
  6. Intersect(c, e, 1) → E
  7. Locus(C, D) → loc1
  8. Locus(E, D) → loc2