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Task 1 - Parametric Curve

Task 1 - Parametric Curve
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2020-07-20 07:46
FunctionCoordinate GeometryParametric Equation
In collections Exploring Parametric Curves
This example demonstrates the method of drawing a parametric curve. Parametric curves are described by parametric equations and are often used to represent motion trajectories or complex shapes. Using GeoGebra commands CurveCartesian and Tangent, it is easy to draw the parametric curve and add tangents. Suitable for high school mathematics education and students learning parametric equations.

GeoGebra Commands & Parameters

  1. CurveCartesian(t^(2), t^(3) - (3 * t), t, -5, 5) → a
  2. Tangent(A, a) → f

AI Drawing Prompt Reference

Draw a parametric curve with x=t^2 and y=t^3-3t, where t ranges from -5 to 5. Then add a tangent line at point A on the curve.
The prompt above was compiled from the original drawing commands and is for reference only.