Sine Function Graph Demonstration
Loading the math board and drawing, please wait…
This example demonstrates the graph of the sine function f(x)=a sin(ax) and how the parameter 'a' affects its shape, including amplitude and period changes. Key math concepts involved are sine function, amplitude, periodicity, and function graph transformations. GeoGebra commands used include objects a (parameter), g (function graph), f (function definition), b, c (auxiliary points/coordinates), texto1, texto2 (text annotations), and h (auxiliary lines/shapes). Suitable for high school mathematics education, providing a foundational understanding of sine function graph transformations.
GeoGebra Commands & Parameters
Numeric a(1)g(x) = (a * sin((x * a)))f(x) = sin(x)b(x, y) = 0 < y < sin(x) ∧ 0 < x < πc(x, y) = 0 < y < g(x) ∧ 0 < x < π / ah(x) = (sin((3 * x)) * 3)