Question

Write an equation for the translation of y=4/x that has the asymptotes x=7 and y =6

Answer 1

thats another wayto say: center it at (7,6)

Answer 2

y=4/x is centered at 0,0

we want the center to be 7,6; lets move this by -7,-6 to line up the center with 0,0

but in order to move one point, we have to move all the (x,y) points by the same amount: (x-7, y-6)

y=4/x -> y-6=4/(x-7)