Translations & Transformations of Sine and Cosine Functions

Translations & Transformations of Sine and Cosine Functions
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2015-11-18 23:29
This example demonstrates the translations and transformations of sine and cosine function graphs. Key math concepts include function graph transformations, periodicity, amplitude, and phase shifts. It uses GeoGebra commands/objects: parameters a, b, c, d; functions f, g; texts text1, text2, text3. Suitable for high school mathematics teaching to understand the rules of trigonometric function graph transformations.

GeoGebra Commands & Parameters

  1. Numeric a(1)
  2. Numeric b(2)
  3. Numeric c(3)
  4. Numeric d(0)
  5. f(x) = (a * sin((b * x) - c)) + d
  6. g(x) = (a * cos((b * x) - c)) + d