1 · Observe

Watch the wave. The gold dashed lines mark the midline ± amplitude.

2 · Manipulate

3 · Predict

Before touching the sliders: if you double the amplitude, what happens to the highest point of the wave? What if you halve the period — does the wave get taller or more crowded?

4 · See

5 · Explain

The number B = 2π/T controls how fast the wave oscillates: a smaller period T means a bigger B and more humps in the same window. C slides the whole wave left/right (phase shift), and D lifts the midline up/down. The maximum is always D + A and the minimum D − A.