Question

How do you graph `f(x)=sin(x+pi/6)`?

Answer 1

Put u = x +`pi/6` and draw the graph of y = sin u. Now u = 0 is the vertical axis.

Explanation:

It will be parallel to the original Y axis, to the left of original by `pi/6` units. Otherwise there is no difference from the sine graph.
Change is only in origin ( shifted to the left by `pi/6` units). There is no change of scale and the shape of the sine graph is retained.