Identify and show the transformations of the plane that map

Identify and show the transformation(s) of the plane that map:

the hyperbola defined by 1 onto the hyperbola defined by m- 1

Solution

So we see in the transformation

x goes to y

y goes to x+1

This can be done by first shifting x to x+1 ie translation

So,(x,y) to (x+1,y)

Then we can reflect about line y=x

where (x+1,y) goes to (y,x+1)