Question

Been struggling with this for an hour -_-
write an equation for the translation of y=3/x that has the asymptotes x=-6 and y=7

Answer 1

an hour?

Answer 2

you want an asymptote of \(x=-6\) make sure \(-6\) is a zero of the denominator

Answer 3

i.e. make the denominator \(x+6\)

Answer 4

Unfortunately. :/ it's embarrassing. I finished everything else on this silly packet with minimal problems. This is giving me a ton of trouble for some reason.

Answer 5

oh i forgot the part about \(y=7\) make sure to put \(7y\) in the numerator

Answer 6

you can use
\[\frac{7x}{x+6}\] or if you need that 3 up top put
\[\frac{7x+3}{x+6}\]

Answer 7

i meant put \(7x\) in the numerator, not \(7y\)

Answer 8

sorry i haven't been replying. i typed something out but this website wasn't responding to my phone very well but im on the computer now.
here's what confuses me: if i need the horizontal and vertical asymptote added to the equation, the vertical asymptote is y=7 right? so if i'm thinking about working backwards i would need the denominator to be x-7 to get 7 when it's set equal to zero right? or am i completely off so far?

Answer 9

when i type 3/(x-7) into my calculator it seems right for the first asymptote so now i guess i'm just lost with the second one

Answer 10

no i think you have it backwards

Answer 11

if \(y=7\) us a horizontal asymptote then
a) the degree of the top has to equal the degree of the bottom and
b) the ratio of the leading coefficients has to be 7

Answer 12

also \(y=7\) is a HORIZONTAL line, i.e a horizontal asymptote, not a vertical one

Answer 13

Wow. I feel horribly stupid. That would explain why I'm having issues.

Answer 14

Okay your answer makes a lot more sense now that I'm not mixed up. Thanks for your help. You have a nice night. :)