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Transformations on a Parabola

Transformations on a Parabola
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2016-09-27 02:07
FunctionCoordinate GeometryTransformation
This example demonstrates transformations of a parabola, involving matrix transformations, ratios, and arithmetic mean. By adjusting parameters, you can observe how the parabola changes under different transformations. The construction mainly uses GeoGebra commands such as a, b, c, C, D, pic1, and f. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Numeric a(1.5)
  2. Numeric b(-0.05)
  3. Numeric c(0)
  4. Point C(3.0569281937502844, 0.5083282752166084)
  5. Point D(10.58685337450068, 0.5083282752166084)
  6. f(x) = (a * (x - b)^(2)) + c