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Phantom Graph of Witch of Agnesi

Phantom Graph of Witch of Agnesi
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2018-07-19 06:14
FunctionCoordinate GeometryParametric Equation
In collections Phantom Graphs
This example demonstrates the Phantom Graph of the Witch of Agnesi, a special type of function graph. It involves the concept of functions, particularly how to depict complex curves using parametric equations. Using GeoGebra commands such as Plane, ComplexRoot, and CurveCartesian, this unique graph can be constructed. Suitable for high school mathematics education and learning, especially in coordinate geometry and function graphing.

GeoGebra Commands & Parameters

  1. Plane((0, c, 0), (1, c, 0), (0, c, 1)) → p
  2. ComplexRoot((c * (x^(2) + a^(2))) - a^(3)) → z_1, z_2
  3. CurveCartesian(0, a^(3) / (a^(2) - t^(2)), t, t, -25, 25) → d