What are the period and phase shift for f(x) = −4 tan(x − π)?

Period: π; phase shift: x = pi over two
Period: π; phase shift: x = π
Period: 2π; phase shift: x = pi over two

Question

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

mathmale · Answer

the period of y=tan x, or of y = tan 1x, is pi.
The period of y = tan 2x would be pi/2.
Can you extend this principle?  what would be the period of y = tan 15x?

Genereal formula:  The period of y = tan nx is ... ?

vladthepro · Answer

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