How do you find the amplitude and period of a function y = 5+3sinx?

1 Answer
Nov 4, 2015

The amplitude is 3 and the period is 2pi. (The phase shift is (0, 5) if you wanted to know).

Explanation:

The equation can be written as asin(b(x−c))+d (or in your case d + asin(b(x-c)). For sin and cos (but not tan) |a| is the amplitude, (2π)/|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!