Sine Function Transformations by Jeff Corn
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This example demonstrates the transformations of the sine function graph, including amplitude, period, and phase shifts. Core math concepts involve the sine function, amplitude, period, phase, and function graph transformations. It uses GeoGebra commands/objects: objects a, b, c, d, f. Suitable for high school mathematics teaching to understand the rules of sine function graph transformations.
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 function graph to demonstrate transformations including amplitude, period, and phase shifts. Adjust the amplitude, period, phase, and vertical shift to observe how the sine curve changes. Start with the basic sine curve and then modify its shape based on the given parameters for amplitude, period, phase, and vertical shift, finally showing the transformed sine curve and its relationships.
The prompt above was compiled from the original drawing commands and is for reference only.