find eqn of tangent fcn with given period, vertical shift,

[Jen123]

write an equation of the tangent function with the period 3pie/8, phase shift -pie/5, and vertical shift -2.

I am having problems with figuring out the phase shift and the period.
I know the period = 2pie/k so for the period I got 16/3
I know phase shift = -c/k but I'm not sure what to plug in
I'm very confused about the period and the phase shift it would help if someone could show me the process.

 

[skeeter]

pi is the Greek letter ... pie is something you eat.

the period of the parent tangent function is pi, not 2pi.

so ...

for y = tan[B(x + C)] + D

B = (pi)/(3pi/8) = 8/3

C = -pi/5

D = -2