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Parabola Family y = a * X^2

Parabola Family y = a * X^2
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2013-01-07 05:30
FunctionCoordinate GeometryParametric EquationGraphing
In collections Geom. & Alg.: Quadratics
This example demonstrates how changing parameter 'a' alters the shape of the parabola y = a * X^2. It involves core math concepts like function graphs, parametric equations, and coordinate geometry. GeoGebra commands/objects used include c, d, e, f, g, h, a, b, i, j, k, l, text1. Suitable for high school mathematics teaching and function graph studies.

GeoGebra Commands & Parameters

  1. Conic c
  2. Conic d
  3. Conic e
  4. Conic f
  5. Conic g
  6. Conic h
  7. Boolean a(false)
  8. Boolean b(false)
  9. Boolean i(false)
  10. Boolean j(false)
  11. Boolean k(false)
  12. Boolean l(false)

AI Drawing Prompt Reference

Draw a family of parabolas y = a * X^2 with a as a variable parameter. Observe how the shape of the parabola changes by adjusting the value of a. Utilize concepts of coordinate geometry and parametric equations to draw parabolas for different values of a.
The prompt above was compiled from the original drawing commands and is for reference only.