## coe 2 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?

1. ZeHanz

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

umm im still kind of confused

3. ZeHanz

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

yeah i can see the graph but im still confused do you wanna see it?

5. ZeHanz

6. coe

7. ZeHanz

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!

8. coe

ohh okay i get it now thank you soo much!!! :)