Question

How do you translate the graph of `y=sin(x-pi/6)+1`?

Answer 1

Translate the wave y = sin x by moving it in x+ direction, through `pi/6` units, and get graph of `y = sin(x-pi/6)`. Now, move this in y+ direction, through 1 unit, for `y=sin(x-pi/6)+1`.

Explanation:

`y = sin ( x - pi/6) + 1` is a sine wave, with period `2p`, , amplitude 1

unit, mean (level ) axis y =1 ( vertical phase shift 1) and horizontal

phase shift `pi/6` units.,

Translate the wave y = sin x by moving it in x+ direction, through

`pi/6` units, and get graph of `y = sin(x-pi/6)`. Now, move this in y+

direction, through 1 unit, for `y=sin(x-pi/6)+1`.