Question

how do you know that

(x-2x)/(x+1) is a hyperbola?

Thank you!

Answer 1

(x-2x)/(x+1)
=-x/(x+1)
= -1 + 1/(x+1)
substitute x'=x+1
= -1 + 1/x'

Hence a hyperbola shifted one unit downwards

Answer 2

... and one unit to the left