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Draw a Parabola?

Draw a Parabola?
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2018-06-22 13:04
FunctionCoordinate GeometryParametric EquationGeometric Construction
This example demonstrates how to draw a parabola, involving the properties and parametric equations of parabolas. Using GeoGebra commands such as Surface, CurveCartesian, PointIn, and Vector, the formation process of the parabola can be dynamically shown. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Surface(((r / n * ((n * cos(u)) + cos((n * u)))) * sin(v)), ((r / n * ((n * sin(u)) + sin((n * u)))) * sin(v)), (r * cos(v)), u, 0, (2 * π), v, 0, π) → b
  2. CurveCartesian(b(t, π + f(t)), t, 0, π) → a
  3. PointIn(d) → B
  4. PointIn(d) → C
  5. Vector((0, 0), B) → u1
  6. Vector((0, 0), C) → u2
  7. CurveCartesian(b(t, f(t)), t, 0, π) → e
  8. Surface(b(t, (k * f(t))), k, 0, 1, t, 0, π) → i