How do you find the amplitude and period of a function y=4sin(2x)+1 ?

1 Answer
Nov 4, 2015

The amplitude is 4 and the period is pi. The phase change (if you cared) is (0, 1)

Explanation:

The equation can be written as a sin(b(x-c)) + d. For sin and cos (but not tan) |a| is the amplitude, (2pi)/|b| is the period, and c and d are the phase shifts. c is the phase shift to the right (positive x direction) and d is the phase shift up (positive y direction). Hope this helps!