Question

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

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

Answer 1

so wrong!
y = 4 * (x - 7) + 6 has no asymptotes at all
you want
y = 4/(x-7) + 6

Answer 2

y = 4 * (x - 7) + 6

Answer 3

My apologies for the mistake. Thank you for the correction.

The correct equation for the translation of y = 4x that has the asymptotes x = 7 and y = 6 is:

y = 4/(x - 7) + 6