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

1 Answer
A. S. Adikesavan
Oct 13, 2016

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#.

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