How do you find the amplitude, period, and shift for #y= -4 + 3 sin (x+ pi/3)#?

1 Answer
Bdub
Oct 3, 2016

#A=3#
#B=1, P=(2pi)/1=2pi#
#C=-4#
#D=-pi/3#

Explanation:

General sinusoidal equation is #y = C + A cos (x-D)#
#absA#- is the amplitude
#B#- is the number of cycles and therefore the period is #P=(2pi)/B#
#C#- is the shift in y
#D#- is the shift in x
Therefore from our equation we have
#A=3#
#B=1, P=(2pi)/1=2pi#
#C=-4#
#D=-pi/3#

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