Shifting Cosine Function
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This example demonstrates how to adjust the position of a cosine function graph through translation transformations. Core math concepts include the properties of the cosine function, function graph translation, and parametric equations in analytical geometry. Construction highlights involve GeoGebra commands/objects: f (function object), A1-A10 (point objects), p (slider), A (point), text1-text8 (text objects), g (function object), C (point), B, D (points). Suitable for high school students learning function graph transformations and analytical geometry teaching.
GeoGebra Commands & Parameters
f(x) = cos(x°)1A1 + 1A2 + 1A3 + 1A4 + 1A5 + 1A6 + 1A7 + 1A8 + 1A9 + 1Numeric p(90.0)(0, 1)g(x) = cos(x° - p°)(p, 1)(90, 0)(-90, 0)