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Shape of the Parabola

Shape of the Parabola
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2015-12-14 23:10
FunctionCoordinate GeometryGeometric Construction
In collections Conic Section: Parabola
This example demonstrates the shape of a parabola. It involves the core concept of quadratic equations. By adjusting parameters, you can observe changes in the parabola. Mainly constructed using points, lines, text, and buttons in GeoGebra.

GeoGebra Commands & Parameters

  1. Numeric p(0.0)
  2. y^(2) = (4 * (p * x))
  3. x^(2) = (4 * (p * y))
  4. Boolean a(false)
  5. Boolean e(false)
  6. Boolean b(false)

AI Drawing Prompt Reference

Draw a parabola and observe its changes by adjusting parameter p. First, draw the parabolas y^2 = 4px and x^2 = 4py, then add buttons to toggle their display.
The prompt above was compiled from the original drawing commands and is for reference only.