Question

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

Answer 1

The phase shift is pi/2, but the period is is 2pi over the absolute value of b so it should be 2pi/2 which equals pi

Answer 2

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.

Hope this helps!