how to graph y=2+ 2/x+1

Question

i have a midterm and dont remember how to do this

 

Answer 1

y = 2 + 2/(x+1) is a rectangular hyperbola, XY=1 but shifted up 2 and left 1

center (-1,2) between 2 separate branches

x=-1 is the vertical asymptote

y =2 is the horizontal asymptote