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

Question

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

zehanz · Answer

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!

anonymous · Answer

umm im still kind of confused

zehanz · Answer

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"?

anonymous · Answer

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

zehanz · Answer

Yes please

anonymous · Answer

attachment

zehanz · Answer

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!

anonymous · Answer

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