Sine Curve Transformations
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This example demonstrates the transformations of a sine curve including translations and scalings. It involves core math concepts like sine function, translation, scaling, and coordinate system. GeoGebra commands used: a, b, c, d, f, text1, text2, text3, text4, text5. Suitable for high school mathematics teaching to understand function graph transformation rules.
GeoGebra Commands & Parameters
Numeric a(1.0)Numeric b(1.0)Numeric c(0.0)Numeric d(0.0)f(x) = (a * sin((b * (x + c)))) + d
AI Drawing Prompt Reference
Draw a sine curve to demonstrate its transformations including translations and scalings. Start with the base sine curve, then adjust parameters to show translations along the x and y axes, as well as scalings for amplitude and frequency. Include text labels for key parameters and translation directions, presenting the changes in the sine curve's shape under different transformations.
The prompt above was compiled from the original drawing commands and is for reference only.