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

Algebra ->  Rational-functions -> 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      Log On


   



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) About Me  (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 = 4%2Fx

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C4%2Fx%29

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y = 4%2F%28x%2B2%29%2B6  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:

graph%28400%2C400%2C-10%2C10%2C-5%2C15%2C4%2Fx%2C4%2F%28x%2B2%29%2B6%29 

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y = 4%2F%28x%2B2%29-6  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:

graph%28400%2C400%2C-10%2C10%2C-15%2C5%2C4%2Fx%2C4%2F%28x%2B2%29-6%29

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y = 4%2F%28x%2B6%29%2B2  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:

graph%28400%2C400%2C-15%2C5%2C-8%2C12%2C4%2Fx%2C4%2F%28x%2B6%29%2B2%29

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y = 4%2F%28x%2B6%29-2  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:

graph%28400%2C400%2C-15%2C5%2C-12%2C8%2C4%2Fx%2C4%2F%28x%2B6%29-2%29

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Edwin