Graph the function. What is the amplitude, period, phase shift, and vertical shift for y=4 sin (3theta-1/3 pi) +1

I believe that:
Amp=4
period=2pi/3
phase shift=1/3pi
vertical shift=1

Question

Graph the function.  What is the amplitude, period, phase shift, and vertical shift for y=4 sin (3theta-1/3 pi) +1

I believe that:
Amp=4 
period=2pi/3 
phase shift=1/3pi 
vertical shift=1

directrix · Answer

This chart may help.

haleyelizabeth2017 · Answer

so 1/9pi is the phase shift?

haleyelizabeth2017 · Answer

(1/9)pi **

directrix · Answer

Is this:  1/3 pi  


1/3 of pi 

or 

1 over 3 pi as in 1/(3 pi)

haleyelizabeth2017 · Answer

it's (1/3)pi

haleyelizabeth2017 · Answer

Sorry about it being unclear...ha...ha

directrix · Answer

I wrote the function this way for comparison with the chart:

y = 4 sin ( 3Θ  - π/3 ) + 1


I agree with you on these three:

Amp=4

 period=2pi/3

 vertical shift=1

directrix · Answer

Now, the phase shift.

haleyelizabeth2017 · Answer

c=(1/3)pi
b=3

(1/3)pi/3 = (1/3)pi * (1/3)
(1/9)pi

directrix · Answer

-C/B  where C = - π/3  and B = 3

- ( - π/3  )  / 3 =  π/9

directrix · Answer

phase shift = π/9   which is what you got.

haleyelizabeth2017 · Answer

:)