Answer
$ y= -\tan (x-\dfrac{\pi}{2})$
Work Step by Step
The required graph is $ y= -\tan (x-\dfrac{\pi}{2})$
The graph shows a horizontal shift of $ y =\tan x $ by $\dfrac{\pi}{2}$ units to the right. It is also reflected upside-down because of the negative sign in front of the function (amplitude $-1$).