Question

write a translation of y=-5/x that has the asymptotes x=-1 & y=6.

Answer 1

denominator must be
\[x+1\]

Answer 2

for this to have horizontal asymptote \[y=6\] you must have the degree of denominator = degree of the numerator and the ratio of leading coefficients must be 6

Answer 3

oh wait. ok "translation" sorry. i bet lagrange will have it

Answer 4

i will be quiet and watch.

Answer 5

ok fine. we go to the left 1 and up 6. starting with
\[y=\frac{-5}{x}\] left 1 gives
\[y=\frac{5}{x+1}\]

Answer 6

ok fine. we go to the left 1 and up 6. starting with
\[y=\frac{-5}{x}\] left 1 gives
\[y=\frac{5}{x+1}\]

Answer 7

the up 6 so write
\[y=\frac{-5}{x+1}+6\]

Answer 8

you can add if you like. if you do you get
\[y=\frac{6x+1}{x+1}\]