Exploring Sine Function Transformations
Loading the math board and drawing, please wait…
This example explores transformations of the sine function, including amplitude, period, phase shift, and vertical translation. Interactive sliders allow users to observe how parameters a, b, c, d affect the graph in real time. The core mathematical concepts involve properties of sine functions, periodic transformations, vector representation, and basic ideas of geometric transformations. The construction uses GeoGebra objects a, b, c, d and text labels to display parameter changes, making it suitable for high school and early university mathematics courses.
GeoGebra Commands & Parameters
Numeric a(1)Numeric d(0)Numeric b(1)Numeric c(0)f(x) = (a * sin(((b * (x - c)))°)) + d