Question

What are the period and phase shift for f(x) = −4 tan(x − π)?
A) Period: π; phase shift: x = pi over two
B) Period: π; phase shift: x = π
C) Period: 2π; phase shift: x = pi over two
D) Period: 2π; phase shift: x = π

Answer 1

The correct answer is option (B) Period: π; phase shift: x = π 

The equation for finding timeperiod and phase shift is: a tan(bx-c) +d
where, a = amplitude
Time period = π/b
phase shift = c/b
therefore, comparing the given equation we get, f(x) = −4 tan(x − π) we get,

thus, answer is time period = π
phase shift = π