Cosine Transformations by Jeff Corn
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This example demonstrates transformations of the cosine function. It involves core trigonometric concepts, adjusting parameters a, b, c, d to observe changes in the cosine function graph. Constructed using GeoGebra objects a, b, c, d, f. Suitable for high school math education and learning, helping to understand the properties and transformation rules of the cosine function.
GeoGebra Commands & Parameters
Numeric a(1.0)Numeric b(1.0)Numeric c(0.0)Numeric d(0.0)f(x) = (a * cos((b * x) - c)) + d
AI Drawing Prompt Reference
Draw a cosine function graph and show the effects of parameters a, b, c, d on the function. Start by plotting the basic cosine curve, then adjust parameter a to change the amplitude, parameter b to change the period, parameter c to change the phase shift, and parameter d to change the vertical shift, observing how these modifications affect the shape and position of the cosine curve.
The prompt above was compiled from the original drawing commands and is for reference only.