Question

WILL REWARD!!

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

Answer 1

You are given y = 5/x and asked to find asymptotes x = 6 and y = 7 correct?

Answer 2

yes

Answer 3

@Hero

Answer 4

Okay, so the parent function is y = 1/x correct?

Answer 5

yes

Answer 6

If you recall, the asymptotes of y = 1/x is x = 0 and y = 0. Do you agree?

Answer 7

yes i agree

Answer 8

Okay, so @mrivera3113, do you think multiplying the right side by 5 would change the asymptotes in any way? In other words, are the asymptotes of y = 5/x still x = 0 and
y = 0?

Answer 9

Something else to consider: We can write a formula that represents translations of parente function y = 1/x:

\[y = \frac{a}{x \pm b} \pm c\]

Where
a = vertical stretch or compress
b = the value of the x asymptote
c = the value of the y asymptote

At this point, we already have

\[y = \frac{5}{x \pm b} \pm c\]

We just have to figure out the values of b and c, which are really already given to us.

Answer 10

@mrivera3113, I assume you have figured out the correct result for this?