Interactive Function Graph Transformations with Differential Equations

This GeoGebra worksheet demonstrates fundamental function graph transformations including translation, scaling, and reflection operations. The core mathematical concepts cover trigonometric functions (cosine), differential equation visualization, and rational function analysis. Construction highlights: Textfield and inputBox1 provide user interaction, button1-button6 control different transformation operations, parameters a, b, c, d control the function f(x)=a·cos(b(x-c))+d, with variables k_1, k_2 demonstrating numerical solutions to differential equations. Suitable for high school mathematics (functions and graphs, trigonometry) and introductory college calculus, serving as classroom demonstration or interactive learning tool for student exploration.