Question

How do you graph `y=tan(x-pi/2)`?

Answer 1

Below

Explanation:

`y=tan(x-pi/2)` is basically `y=tanx` shifted to the right by `pi/2`
That means that the entire graph including the asmpytotes move to the right by `pi/2` units.

graph{tanx [-10, 10, -5, 5]}
Above is `y=tanx`

graph{tan(x-pi/2) [-10, 10, -5, 5]}

Above is `y=tan(x-pi/2)` If you focus on `(0,0)` in the first graph, you will notice that in `y=tan(x-pi/2)`, it has shifted to the right by `pi/2` units or approximately 1.57 units to the right.