How to draw the image of y = x / X-1

How to draw the image of y = x / X-1

y=(x-1+1)/(x-1)
=(x-1)/(x-1)+1/(x-1)
=1+1/(x-1)
y-1=1/(x-1)
Left plus right minus, bottom plus minus
So move y = 1 / X one unit to the right and one unit up