How do you determine the amplitude, period and the phase shift period of #y=-4sin(6pix+3pi)#?

1 Answer
Gió
Apr 22, 2015

Have a look at your function:

it is in the form:
#y=#-(Amplitude)#sin(kx+phi)#

Your amplitude is #4# so that your function will oscillate between #+4# and #-4#;

#k=6pi# but #k# is related to the period as: #k=(2pi)/(period)#
So your period will be: #1/3#;

The Phase Shift is #phi=3pi#

Graphically:
enter image source here

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