Question

Write an equation for the translation of y=6/x that has the asymptotes x=4 and y=5

Answer 1

@GeraldJRJunior @mathmale @HourglassMage @MathsPro

Answer 2

@Hotchellerae21

Answer 3

yes

Answer 4

Can you please help me @Hotchellerae21 ?

Answer 5

i can try

Answer 6

Ok thanks :)

Answer 7

So where do we start?

Answer 8

y=6/x

Answer 9

Okay, then what?

Answer 10

i have a link that can help us can i use it

Answer 11

Sure :)

Answer 12

let me pull it up kk

Answer 13

kk

Answer 14

@Hotchellerae21 you still there?

Answer 15

ya waiting for it to load

Answer 16

Okay

Answer 17

it is not loading

Answer 18

Hmmm

Answer 19

with out that i can't help

Answer 20

Ok, but what is your best guess?

Answer 21

The fact it asks for a translation means it will have some form of:
\(y=\dfrac{6}{x-h}+k\) where h is the shift in x and k is the shift in y.

However, it identifies the shifts by asymptotes. That means that the lines x=4 and y=5 are lies that can not be crossed by this equation.

Answer 22

Ok, so how would I solve this?

Answer 23

Well, I would look at the standard graph of \(y=\dfrac{6}{h}\) and the existing asymptotes, then see what would be needed to shift the center to the new asymptotes.

Answer 24

If you understand how and why it works, you can do it mathematically. Until you do, it is easier to look at it graphically:

https://www.desmos.com/calculator/cun2ko8ds5

So play with that \(y=\dfrac{6}{x-h}+k\) form I mentioned until you get the graph to center over where the x=4 and y=5 lines cross.

Answer 25

Ok, so

Answer 26

y= 6/x-4 +5?

Answer 27

@e.mccormick

Answer 28

@e.mccormick ? Are you there?

Answer 29

Odd, it was not updating my display and I had to refresh.

I am going to assume you mean (x-4) as in all under the /, then yes.

Answer 30

yep, thanks :)