Shifting Cosine Function

Shifting Cosine Function
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2016-07-19 06:35
This example demonstrates how to adjust the position of a cosine function graph through translation transformations. Core math concepts include the properties of the cosine function, function graph translation, and parametric equations in analytical geometry. Construction highlights involve GeoGebra commands/objects: f (function object), A1-A10 (point objects), p (slider), A (point), text1-text8 (text objects), g (function object), C (point), B, D (points). Suitable for high school students learning function graph transformations and analytical geometry teaching.

GeoGebra Commands & Parameters

  1. f(x) = cos(x°)
  2. 1
  3. A1 + 1
  4. A2 + 1
  5. A3 + 1
  6. A4 + 1
  7. A5 + 1
  8. A6 + 1
  9. A7 + 1
  10. A8 + 1
  11. A9 + 1
  12. Numeric p(90.0)
  13. (0, 1)
  14. g(x) = cos(x° - p°)
  15. (p, 1)
  16. (90, 0)
  17. (-90, 0)