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Transformations of Sine and Cosine by kms

Transformations of Sine and Cosine by kms
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2013-02-03 07:02
FunctionTrigonometryTransformation
In collections Trig Graphs
This applet uses sliders to demonstrate translations, phase shifts, and other transformations of sine and cosine functions. Key mathematical concepts include the properties and transformations of trigonometric functions. Constructed using GeoGebra objects such as functions and sliders. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Numeric a(1.0)
  2. Numeric b(1.0)
  3. Numeric c(0.0)
  4. Numeric d(0.0)
  5. Boolean e(true)
  6. Boolean h(true)
  7. f(x) = a * sin(b * (x + c)) + d
  8. g(x) = a * cos(b * (x + c)) + d

AI Drawing Prompt Reference

Draw the transformed sine and cosine functions with adjustable amplitude a, period b, phase shift c, and vertical shift d. First, plot the sine function f(x) = a * sin(b * (x + c)) + d, then plot the cosine function g(x) = a * cos(b * (x + c)) + d. Use sliders to change the parameters and observe the transformations of the functions, including translations, stretches, and phase shifts.
The prompt above was compiled from the original drawing commands and is for reference only.