Animating Sine Wave Function

Animating Sine Wave Function
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2013-10-01 14:50
This example demonstrates how to animate the sine wave function f(x)=sin(x) using a slider. Core math concepts include trigonometry, function graphing, and animation. Key GeoGebra commands/objects used are: f (function), text1 (text), a (slider), b (variable), c (coordinate), d (parameter), g (graphics). Suitable for high school mathematics teaching or dynamic function graph demonstration.

GeoGebra Commands & Parameters

  1. f(x) = sin(x)
  2. Numeric a(-2)
  3. Numeric b(-4.5)
  4. Numeric c(0.3)
  5. Numeric d(-3.6)
  6. g(x) = (a * f((b * (x - c)))) + d

AI Drawing Prompt Reference

Draw an animated sine wave function graph f(x)=sin(x) with a slider to control its amplitude, period, and vertical shift. The slider ranges from -2 to 2, the period variable from -4.5 to 4.5, the coordinate spacing is 0.3, and the vertical shift is -3.6, creating a dynamic sine wave visualization.
The prompt above was compiled from the original drawing commands and is for reference only.