Sine Function Transformations by Paul Havens
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This example demonstrates the transformations of the sine function graph, including translations and their relationships with parameters a, b, h, k. Core math concepts involve sine function properties and graph transformations (translation, scaling). Construction highlights include objects a (amplitude), b (period), h (horizontal shift), k (vertical shift), f (function), g (graph). Suitable for high school mathematics teaching to understand the impact of function transformations on graphs.
GeoGebra Commands & Parameters
Numeric a(1)Numeric b(1)h:0k:0f(x) = sin(x)g(x) = (a * f((b * x) + h)) + k