Transforming the Basic Sine Curve: Effects of Parameters A, B, C, D

This interactive GeoGebra activity illustrates the fundamental features of a sine curve and demonstrates how the parameters A, B, C, and D in the equation y = A sin(B(x - C)) + D affect its graph. It visually shows amplitude, period, horizontal phase shift, and vertical translation. The construction uses GeoGebra commands such as Segment and Polygon, along with objects including A, B, C, D, a, F, E, f, G, H, I, Amplitude1, Period, J, K, L, Amplitude2, M, N, O, P, poly1, m, o, p, and n. These elements help build auxiliary shapes and dynamic sliders for parameter adjustment. This resource is suitable for high school or introductory college mathematics, ideal for classroom demonstrations or self-study to grasp the geometric meaning of each parameter in trigonometric function transformations.