SOLUTION: This graph of a function is a translation of y =4/x . What is an equation for the function? y=4/(x+2)+6 y=4/(x+2)-6 y=4/(x+6)+2 y=4/(x+6)-2

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Question 715965: This graph of a function is a translation of y =4/x . What is an equation for the function?
y=4/(x+2)+6
y=4/(x+2)-6
y=4/(x+6)+2
y=4/(x+6)-2

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
This graph of a function is a translation of y =4/x.
Here is the graph of y = 



-----------------------------------------

y =   This one replaces x by x+2 which shifts it 
left 2 units and adds 6 on the right side, so it also shifts it
6 units up, so it's like this green graph:

 

-----------------------------------------

y =   This one replaces x by x+2 which shifts it 
left 2 units and adds -6 on the right side, so it also shifts it
6 units down, so it's like this green graph:



-----------------------------------------

y =   This one replaces x by x+6 which shifts it 
left 6 units and adds 2 on the right side, so it also shifts it
2 units up, so it's like this green graph:



-----------------------------------------

y =   This one replaces x by x+6 which shifts it 
left 6 units and adds -2 on the right side, so it also shifts it
2 units down, so it's like this green graph:



-----------------------------------------

Edwin



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