anonymous
  • anonymous
Can someone please help me I am stuck... How do the graphs of y=1/x and y=5/x+6 compare?
Mathematics
chestercat
  • chestercat
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stamp
  • stamp
\[y_{1}=\frac{1}{x},\ y_{2}=\frac{5}{x+6}\]Can you visualize y1 or y2? If so, draw a sketch of the graph(s)
stamp
  • stamp
It might help to think of y2 as\[y_{2}=5(\frac{1}{x+6})\]
anonymous
  • anonymous
What happened to the other x?|dw:1360212091432:dw|

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anonymous
  • anonymous
Thats what my graph is suppose to look like, but I need to know how they compare.
blurbendy
  • blurbendy
is the second one y = (5/x) +6 or y = (5) / (x+6) ?
anonymous
  • anonymous
The second one
anonymous
  • anonymous
|dw:1360212481953:dw|
blurbendy
  • blurbendy
I think you have the graphs for y = 1/x and y = (5/x) +6 not (5) / (x +6)
anonymous
  • anonymous
|dw:1360212546332:dw|
anonymous
  • anonymous
|dw:1360212588584:dw|
anonymous
  • anonymous
It does not say on my graph
anonymous
  • anonymous
|dw:1360212632344:dw|
anonymous
  • anonymous
^Thats the right graph but how do they compare
anonymous
  • anonymous
i showed points on both the graphs when the +6 term comes the graph is moved to the left 6 steps
anonymous
  • anonymous
|dw:1360213092724:dw|
anonymous
  • anonymous
Oh okay
anonymous
  • anonymous
Well it still doesnt make sense
anonymous
  • anonymous
it does both are same things but the one graph is a little wide near the origin and u get y=5 for x=1
anonymous
  • anonymous
and then it is moved to the left
anonymous
  • anonymous
both are hyperbolas but only thats the difference
anonymous
  • anonymous
well I need an equation
anonymous
  • anonymous
u see the magniture of the function increased with multiplying by 5 and graph shifted to the left with the 6
anonymous
  • anonymous
magnitude
agent0smith
  • agent0smith
For an equation to compare them... lets call them f1(x) and f2(x) \[f _{1}(x) = y _{1} =\frac{ 1 }{ x }\]\[ f_{2}(x) = y _{2} =\frac{ 5 }{ x+6 } = 5\left( \frac{ 1 }{ x+6 } \right)\]
agent0smith
  • agent0smith
\[f _{2}(x) =5 \times f _{1}(x+6)\]

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