What are the period and phase shift for f (x) = 5 tan (2x - π) ?

F (x) = 5tan (2x - pi)

first the 2 must be factored out of the parenthesis.

f (x) = 5 tan 2 (x - pi/2)

The period for tangent is pi/k. In this equation, k = 2

so the period is pi/2.

The phase shift is also pi/2 because of the pi/2 that is in the parenthesis.