Pologirl19
Can someone please help me I am stuck...
How do the graphs of y=1/x and y=5/x+6 compare?
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stamp
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\[y_{1}=\frac{1}{x},\ y_{2}=\frac{5}{x+6}\]Can you visualize y1 or y2? If so, draw a sketch of the graph(s)
stamp
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It might help to think of y2 as\[y_{2}=5(\frac{1}{x+6})\]
Pologirl19
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What happened to the other x?|dw:1360212091432:dw|
Pologirl19
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Thats what my graph is suppose to look like, but I need to know how they compare.
blurbendy
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is the second one y = (5/x) +6 or y = (5) / (x+6) ?
Pologirl19
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The second one
ZakaullahUET
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|dw:1360212481953:dw|
blurbendy
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I think you have the graphs for y = 1/x and y = (5/x) +6 not (5) / (x +6)
ZakaullahUET
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|dw:1360212546332:dw|
ZakaullahUET
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|dw:1360212588584:dw|
Pologirl19
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It does not say on my graph
ZakaullahUET
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|dw:1360212632344:dw|
Pologirl19
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^Thats the right graph but how do they compare
ZakaullahUET
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i showed points on both the graphs
when the +6 term comes the graph is moved to the left 6 steps
ZakaullahUET
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|dw:1360213092724:dw|
Pologirl19
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Oh okay
Pologirl19
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Well it still doesnt make sense
ZakaullahUET
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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
ZakaullahUET
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and then it is moved to the left
ZakaullahUET
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both are hyperbolas but only thats the difference
Pologirl19
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well I need an equation
ZakaullahUET
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u see the magniture of the function increased with multiplying by 5 and graph shifted to the left with the 6
ZakaullahUET
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magnitude
agent0smith
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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
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\[f _{2}(x) =5 \times f _{1}(x+6)\]