# Thread: Finding The Vertical Translation

1. ## Finding The Vertical Translation

Hi there!

How would you solve for b and n in this question (I know how to solve for A):

A function with the rule
y=Asin(nt)+b has the range [2,8] and the period 2pi/3
Find A, b and n

Any help much appreciated!
sin(x) has period $\displaystyle 2\pi$ so sin(nt) will complete one full period when nt goes from 0 to $\displaystyle 2\pi$. What is t when $\displaystyle nt= 2\pi$? What must n be so that will be equal to $\displaystyle 2\pi/3$?