Saylilbaby
  • Saylilbaby
what are the shifts for the graph of (x)=1/x+5-4?
Mathematics
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Saylilbaby
  • Saylilbaby
what are the shifts for the graph of (x)=1/x+5-4?
Mathematics
katieb
  • katieb
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Saylilbaby
  • Saylilbaby
Astrophysics
  • Astrophysics
Do you mean \[f(x) = \frac{ 1 }{ x }+1\]
Astrophysics
  • Astrophysics
Your question isn't clear to me

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TheSmartOne
  • TheSmartOne
or maybe: \[f(x) = \frac{ 1 }{ x+5 }-1\]
Astrophysics
  • Astrophysics
OOOOOH
Astrophysics
  • 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
Saylilbaby
  • Saylilbaby
\[(x)=\frac{ 1 }{ x+5 }-4\] @Astrophysics @TheSmartOne
Astrophysics
  • 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. :)
Saylilbaby
  • Saylilbaby
lol so the shiftsare -1,-4 @Astrophysics
Astrophysics
  • Astrophysics
No there's a vertical shift down by 4 units.
Saylilbaby
  • Saylilbaby
so the answer is "there is a verticle shift down by 4"? @Astrophysics
Astrophysics
  • Astrophysics
This is how your graph should look, with the shifts I've mentioned above, via https://www.desmos.com/calculator |dw:1436145206647:dw|
Astrophysics
  • Astrophysics
There is also a horizontal shift of (x+5) units to the left.
Astrophysics
  • Astrophysics
1/(x+5)*
Saylilbaby
  • Saylilbaby
ok so what I do next? @Astrophysics
Astrophysics
  • Astrophysics
That's it, those are the shifts of your equation.
Saylilbaby
  • Saylilbaby
the shifts are -1,-4 and (x+5) @Astrophysics
Astrophysics
  • Astrophysics
Where is the -1 coming from?
Saylilbaby
  • Saylilbaby
idk im confused... so its -4 and (x+5)? @Astrophysics
Astrophysics
  • 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
Astrophysics
  • Astrophysics
|dw:1436145781683:dw|
Astrophysics
  • Astrophysics
Then we do a shift of 1/(x+5) which gives |dw:1436145894326:dw|
Astrophysics
  • 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
Saylilbaby
  • Saylilbaby
Saylilbaby
  • Saylilbaby
Astrophysics
  • Astrophysics
What else do you need help with @Saylilbaby

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