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Compare Sine Function Transformations

Compare Sine Function Transformations
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2018-02-03 22:13
FunctionTrigonometrySlider Animation
In collections TRANSFORMATION OF FUNCTIONS
This example demonstrates the sine function y=sinx and its transformations through translation, scaling, and vertical shift, resulting in functions y=sin(x-a), y=bsin(x-a), and y=bsin(x-a)+c. It involves key mathematical concepts such as trigonometric functions, function graph transformations, and parametric equations. Using GeoGebra's slider animation feature, you can dynamically adjust the values of parameters a, b, and c to observe changes in the function graphs. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Numeric a(10.0)
  2. Numeric b(3.0)
  3. f(x) = sin(x)
  4. g(x) = sin(x - a)
  5. h(x) = (b * sin(x - a))
  6. Numeric c(3.0)
  7. p(x) = (b * sin(x - a)) + c
  8. Boolean d(true)
  9. Boolean e(true)
  10. Boolean i(false)
  11. Boolean j(false)

AI Drawing Prompt Reference

Draw the sine function y=sinx and its transformations y=sin(x-a), y=3sin(x-a), and y=3sin(x-a)+3. Use sliders to adjust parameters a, b, and c and observe changes in the function graphs.
The prompt above was compiled from the original drawing commands and is for reference only.