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

Solution:

Given f(x) = 5 tan(2x - π)

It is of the form,

a tan(bx - c) + d --- (1)

Here, a = 5, b = 2, c = π and d = 0

We have period of the function tan x is π

The period of the function of the form (1) is π /|b|

The period of f(x) = π /2

And we have phase shift of (1) is c/b

Phase shift of f(x) = π/2

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

Summary:

The period and phase shift of f(x) = 5 tan(2x - π) is π /2 and π /2 respectively.