Stretching and Shifting of Sine Functions

This example demonstrates the graphing phenomenon of stretching and shifting of sine functions. It involves the core mathematical concept of stretching and shifting of trigonometric functions. The construction points include using GeoGebra commands Random and objects h_1, a, b, h, k, k_1, a_1, b_1, g, f, text1, text2, text4, text3, text5, text6, b_2, text7, h_2, text8, k_2, k_3, text9, and button1. It is suitable for teaching functions and trigonometric functions in middle school or high school mathematics.