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Multiple Transformations of Basic Positive Power Functions

Multiple Transformations of Basic Positive Power Functions
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2016-08-16 04:37
FunctionTransformationGeometric Construction
This example demonstrates multiple transformations of basic positive power functions. Key mathematical concepts include the properties of power functions and their geometric transformations. Using GeoGebra commands such as Random, RandomElement, and If, dynamic observations of function graphs can be made. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Random(2, 9 + If[reset, 0, 0]) → n
  2. RandomElement(KeepIf[x ≠ 0, Sequence[i, i, ymin + 2, ymax - 2 + If[reset, 0, 0]]]) → a
  3. Random(xmin + 1, xmax - 1 + If[reset, 0, 0]) → h
  4. Random(ymin + abs(a), ymax - abs(a) + If[reset, 0, 0]) → v
  5. If(Mod[n, 2] ≟ 0, 1, -1) → eo