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coe

  • 3 years ago

This graph of a function is a translation of y =4/x . What is an equation for the function? Can someone help me pleasee?

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  1. ZeHanz
    • 3 years ago
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    Remember: if you translate y = f(x) by a horizontal units and b vertical units, you get y - b = f(x-a), assuming right and up are positive values. So if you have y = x² and translate it 3 to the right and 4 up, you get: y - 4 = (x-3)², so the formula for the translated graph is y = (x-3)² + 4. Now try this method with y=4/x!

  2. coe
    • 3 years ago
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    umm im still kind of confused

  3. ZeHanz
    • 3 years ago
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    I see why now. y=4/x has already been translated; from "this function". Shouldn't you have to know the graph of "this function"?

  4. coe
    • 3 years ago
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    yeah i can see the graph but im still confused do you wanna see it?

  5. ZeHanz
    • 3 years ago
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    Yes please

  6. coe
    • 3 years ago
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  7. ZeHanz
    • 3 years ago
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    If you start with \[f(x)=\frac{ 4 }{ x }\]then translate the graph 6 units to the left (a = -6) and two up (b = 2), you get according to the formula above: g(x) - 2 = f(x - -6), so g(x) = f(x+6)+2. With the function 4/x this is:\[g(x)=\frac{ 4 }{ x+6 }+2\]See attached image!

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  8. coe
    • 3 years ago
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    ohh okay i get it now thank you soo much!!! :)

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