Cosine Function Transformations by Philip Collett

Cosine Function Transformations by Philip Collett
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2014-11-24 13:45
This example demonstrates the effects of vertical and horizontal transformations on the cosine function in a coordinate system. Core math concepts include the properties of the cosine function, function graph transformations, and the impact of parameters on the function's graph. It utilizes GeoGebra commands/objects like CompleteSquare, Extremum, Root, Factors, Element, Corner, and Polygon. Suitable for high school students and teachers learning about function transformations.

GeoGebra Commands & Parameters

  1. CompleteSquare(f) → CompSq
  2. Extremum(f) → TP
  3. Root(f) → xints_1, xints_2
  4. Factors(f) → fctrs
  5. Element(fctrs, 1, 1) → fctr1
  6. Element(fctrs, 2, 1) → fctr2
  7. Corner(1, 1) → Cnr1
  8. Corner(1, 2) → Cnr2
  9. Corner(1, 3) → Cnr3
  10. Corner(1, 4) → Cnr4
  11. Polygon(CN1, CN2, CN3, CN4) → Panel, cn1, cn2, cn3, cn4
  12. Polygon(Cnr1, Cnr2, Cnr3, Cnr4) → Frame, cnr1, cnr2, cnr3, cnr4