Practice Amplitude in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Amplitude is the maximum vertical distance from the midline of a periodic function to a peak or trough.
Amplitude is the maximum displacement from the middle of a wave — it is half the total height of a full oscillation from crest to trough.
Example 1
easyFind the amplitude of f(x) = 5\sin(x).
Example 2
mediumFind the amplitude and midline of g(x) = -3\cos(2x) + 4.
Example 3
mediumA sinusoidal function has a maximum value of 8 and a minimum value of 2. Find the amplitude and midline.
Example 4
hardWrite the equation of a cosine function with amplitude 4, period \pi, midline y = -1, and a maximum at x = 0.