Trigonometric Graph Features Practice (Part 1): Amplitude, Period, and Phase

This example demonstrates how the visual shape of trigonometric graphs is determined by their parameters—showing the effects of amplitude, period, and phase shifts by comparing curves under different settings. Key mathematical ideas include sine/cosine/tangent function behavior, amplitude and period (including angle frequency), phase shift rules, and the way horizontal/vertical transformations affect a function’s graph. The construction (as implied by the missing GeoGebra command summary) centers on creating trigonometric functions as GeoGebra function objects, visualizing them on a coordinate grid, and updating the graph by changing parameters (typically via sliders) to observe how each parameter modifies the curve. It is suitable for late middle school through early high school students studying trigonometric functions, and also for learners who want an interactive way to build intuition about function-graph relationships.