Translations of Sine and Cosine Graphs
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This example illustrates the translations (amplitude, frequency, horizontal and vertical) of the graphs of sine and cosine. By adjusting parameters, you can observe the changes in the function graphs. Key mathematical concepts include the properties and transformations of trigonometric functions. The example is constructed using GeoGebra objects such as functions and slider animations, suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Numeric a(1)Numeric b(1)Numeric c(0)Numeric d(0)g(x) = d + (a * cos((b * x) - c))f(x) = d + (a * sin((b * x) - c))Boolean e(false)Boolean h(false)Boolean i(false)Boolean j(false)Boolean k(false)Boolean l(false)
AI Drawing Prompt Reference
Draw the graphs of sine and cosine functions, and adjust parameters for amplitude, frequency, phase shift, and vertical shift using sliders to observe changes in the function graphs.
The prompt above was compiled from the original drawing commands and is for reference only.