## anonymous one year ago what are the shifts for the graph of (x)=1/x+5-4?

1. anonymous

@Astrophysics @TheSmartOne

2. Astrophysics

Do you mean $f(x) = \frac{ 1 }{ x }+1$

3. Astrophysics

Your question isn't clear to me

4. TheSmartOne

or maybe: $f(x) = \frac{ 1 }{ x+5 }-1$

5. Astrophysics

OOOOOH

6. Astrophysics

Well the (x+5) would tell you it's a horizontal shift in the left axis, and the -1 would be vertical units, can you figure out if it's up or down? Note the graph of f(x) = 1/x looks as such |dw:1436144361958:dw| it's asymptotic

7. anonymous

$(x)=\frac{ 1 }{ x+5 }-4$ @Astrophysics @TheSmartOne

8. Astrophysics

-1, -4 what ever, same thing applies as I mentioned above, me saying +1 may have confused TSO for the slight second there haha as I did 5-4. :)

9. anonymous

lol so the shiftsare -1,-4 @Astrophysics

10. Astrophysics

No there's a vertical shift down by 4 units.

11. anonymous

so the answer is "there is a verticle shift down by 4"? @Astrophysics

12. Astrophysics

This is how your graph should look, with the shifts I've mentioned above, via https://www.desmos.com/calculator |dw:1436145206647:dw|

13. Astrophysics

There is also a horizontal shift of (x+5) units to the left.

14. Astrophysics

1/(x+5)*

15. anonymous

ok so what I do next? @Astrophysics

16. Astrophysics

That's it, those are the shifts of your equation.

17. anonymous

the shifts are -1,-4 and (x+5) @Astrophysics

18. Astrophysics

Where is the -1 coming from?

19. anonymous

idk im confused... so its -4 and (x+5)? @Astrophysics

20. Astrophysics

Well you can put that if you want, but I wouldn't if I didn't understand it, the original graph is |dw:1436145764598:dw| now we add to it, which makes the shifts

21. Astrophysics

|dw:1436145781683:dw|

22. Astrophysics

Then we do a shift of 1/(x+5) which gives |dw:1436145894326:dw|

23. Astrophysics

It's a bit messy just try plugging in all the shifts yourself on this site, and I think you will understand it: https://www.desmos.com/calculator

24. anonymous

@DecentNabeel

25. anonymous

@chealseaa_grinn

26. Astrophysics

What else do you need help with @Saylilbaby