Transformations of Basic Cosine Graph

Transformations of Basic Cosine Graph
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2013-07-24 19:05
This example demonstrates how adjusting the constants in the general equation affects the shape of a basic cosine graph. It involves core math concepts like trigonometric functions and function graph transformations. The construction uses GeoGebra commands/objects such as A, n, B, text1, basic, g, text3, E, a, text2, function. Suitable for high school students learning trigonometric transformations.

GeoGebra Commands & Parameters

  1. Numeric A(1.0)
  2. Numeric n(1.0)
  3. Numeric B(0.0)
  4. basic(x) = cos(x * π / 180)
  5. g(x) = B
  6. Numeric E(0.0)
  7. x = E
  8. function(x) = A * cos(n * π / 180 * (x - E)) + B