How can I write an equation given: tangent function, period=360, phase shift= 0 and a vertical displacement= -6

Question

anonymous · Answer

Original: y = tan x
Original period is 180. You want 360. So make it y = tan (x/2).
No phase shift: all right.
Vertical disp = -6. Your equation:
$$\tan (\frac{ x }{ 2 }) - 6$$

anonymous · Answer

I don't get it, why did you put the (x/2) could you explain me, please? :-(

anonymous · Answer

Putting x/2 in place of x effectively expands the graph horizontally by a factor of 2. This is because the function now needs TWICE as much x to get the same input.

anonymous · Answer

Lol, this is so complicated for me in order to understand it. Anyways, thank you very much!

anonymous · Answer

You will, hopefully