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Transformations of Sine Function

Transformations of Sine Function
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2015-01-05 23:36
FunctionTrigonometryTransformation
This example demonstrates the transformations of a sine function by adjusting parameters with sliders. Key mathematical concepts include the sine function, period, and phase. GeoGebra objects a, ω, Φ, k, f, g are used. Suitable for high school math education and students learning sine function transformations.

GeoGebra Commands & Parameters

  1. Numeric a(1.0)
  2. Numeric ω(1.0)
  3. Numeric Φ(0.0)
  4. Numeric k(0.0)
  5. f(x) = (a * sin((ω * x) + Φ)) + k
  6. g(x) = sin(x)

AI Drawing Prompt Reference

Draw a sine function transformation graph, including the adjustment of parameters a, ω, Φ, and k. First, draw the basic sine function y=sin(x), then transform it using the parameters to get y=a*sin(ω*x+Φ)+k. Pay attention to how the amplitude, period, and phase change.
The prompt above was compiled from the original drawing commands and is for reference only.