Amplitude and Midline for a Sine-Type Function Graph

This example demonstrates how amplitude and midline determine the shape and vertical placement of a sine-type (periodic) function graph. It focuses on the key ideas of amplitude (the distance from the midline to a peak or trough) and the midline (the horizontal line around which the graph oscillates), along with practical graph features such as vertical stretching/compression and shifting. In GeoGebra, the construction is centered on the function object f: by parameterizing the function and updating its parameters, the graph dynamically reflects changes in amplitude and vertical offset (midline), letting learners visually track how the wave’s height and baseline move. Suitable for late secondary school through early college, especially for lessons on transformations of functions and reading periodic graphs.