## Precalculus (6th Edition) Blitzer

$y= -\tan (x-\dfrac{\pi}{2})$
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 $-1$).