Cosine Function Transformations by David Wilbanks
Loading the math board and drawing, please wait…
This example demonstrates transformations of the cosine function, involving key mathematical concepts such as translations and scaling of trigonometric functions. By adjusting parameters a, b, h, and k, you can observe changes in the cosine function graph. The example is constructed using GeoGebra commands like function and slider animation, suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Numeric a(1.0)Numeric b(1.0)Numeric h(0.05)Numeric k(0.0)f(x) = (a * cos((b * (x - h)))) + k(h, f(h))(h + (2 * π / ((4 * b))), f(h + (2 * π / ((4 * b)))))(h + π / b, f(h + π / b))(h + (3 * π / ((2 * b))), f(h + (3 * π / ((2 * b)))))(h + (2 * π / b), f(h + (2 * π / b)))