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 2#pi#. (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!