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Definition of Phase Shift
Posted:
Jun 21, 2013 6:26 PM


Recently there was a listserv question asking for a clarification about the definition of ?phase shift? for Algebra 2/Trigonometry. This was forwarded to NYSED and here is their response. y=A sin(BxC) would be rewritten as y=A sin(B(xC/B)), so the phase shift is the absolute value of (C/B). If C/B >0 then the shift is to the right. If C/B <0, then the shift is to the left. The examples help to clarify. Examples: y=sin(2xpi) would become y=sin(2(xpi/2)) so the phase shift is pi/2 and the shift would be to the right. y=cos(2x+pi/2) would become y=cos(2(x+pi/4)) so the phase shift is pi/4 and the shift is to the left because y=cos(2(x pi/4)). Cheers, Sue McMillen AMTNYS President



