Question

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

***medal***

Answer 1

@jim_thompson5910 help please?

Answer 2

What is the current vertical asymptote?

Answer 3

5? @jim_thompson5910

Answer 4

what number can you not divide by

Answer 5

one? @jim_thompson5910

Answer 6

you can divide by 1

5/1 = 5

Answer 7

zero? @jim_thompson5910

Answer 8

correct, 5/0 is not defined

Answer 9

so that's why 5/x has a vertical asymptote at x = 0

Answer 10

I knew that, but how do i write my equation? @jim_thompson5910

Answer 11

how can you change the denominator to make x = 6 the vertical asymptote?

Answer 12

divide by one? @jim_thompson5910

Answer 13

how can you make the denominator 0 when x = 6

Answer 14

divide by zero @jim_thompson5910

Answer 15

let's say I had x-2 as the denominator

Answer 16

what makes that denominator zero?

Answer 17

+2? @jim_thompson5910

Answer 18

correct

Answer 19

so what must the denominator be to make +6 make the denominator zero

Answer 20

-6? @jim_thompson5910

Answer 21

what expression is 0 when x = 6

Answer 22

x+6?

Answer 23

if it were x+6, then notice this

x+6

6+6 ... replace x with 6

12

we got 12 when we wanted to get 0

Answer 24

x-6?

Answer 25

correct

Answer 26

So far I have:\[y = \frac{ 5 }{ x-6 } +7\]

Answer 27

That's what i got @Wimsicle

Answer 28

that's the only one with x-6