Question

What are the period and phase shift for `f(x)=-4tan(x-pi)`?

Answer 1

Period `= pi / |b| = pi`

Phase shift `= c/b = pi` to the right.

Explanation:

Use the form `y = a tan(bx - c) + d` to find the variables used to find the amplitude, period, phase shift, and vertical shift.

Period `= pi / |b|`, Phase shift `= c / b`

Given equation `y = -4 tan (x - pi)`

`a = -4, b = 1, c = pi`

Period `= pi / |b| = pi / 1 = pi`

Phase shift `= c / b = pi / 1 = pi` (`pi` to the right

graph{-4tan(x-pi) [-10, 10, -5, 5]}