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

Put u = x +$\frac{\pi}{6}$ and draw the graph of y = sin u. Now u = 0 is the vertical axis.
It will be parallel to the original Y axis, to the left of original by $\frac{\pi}{6}$ units. Otherwise there is no difference from the sine graph.
Change is only in origin ( shifted to the left by $\frac{\pi}{6}$ units). There is no change of scale and the shape of the sine graph is retained.