Sine Curve Transformations by krschreck
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This example demonstrates the geometric transformations of a sine curve, including translations and scalings. Core math concepts involve trigonometric functions, geometric transformations, coordinate systems, and parameter adjustments. GeoGebra commands and objects like a, b, c, d, text2, f, etc., are used to construct and manipulate the curve and parameters. 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) + dg(x) = sin(x)
AI Drawing Prompt Reference
Draw a sine curve and modify its shape and position by adjusting parameters a, b, c, and d. a controls the amplitude, b controls the period, c controls the phase shift, and d controls the vertical shift. First, draw the standard sine curve y=sin(x), then observe the changes by adjusting the parameters.
The prompt above was compiled from the original drawing commands and is for reference only.