Write an equation of the translation of y=3/x with asymptotes of x=7 and y = - 5

The curve given has asymptotes at x=0 and y=0. We wish to move it right 7 units so the asymptote becomes x=7 and down 5 so the asymptote is y=-5

To move a function down 5 units subtract 5 from it. To move it right we subtract 7 from the independent variable (from the x). The new function is y = (3 / (x-7)) - 5

y = (3 over (x-7)) then minus 5