Write an equation for the translation of y = 5/x that has the asymptotes x = 6 and y = 7.

1 answer

To translate y = 5/x by a horizontal shift of 6 units to the right and a vertical shift of 7 units up, we need to replace x with (x - 6) and y with (y - 7). The equation becomes:

(y - 7) = 5/(x - 6)

This equation has vertical asymptote x = 6 and horizontal asymptote y = 7.