what is the equation of the function y=5/x translated four units to the left and three units up

Question

mathmale · Answer

this problem pertains to horizontal and vertical translation.  

If you translate the graph of the function y=5/x  three units to the right, the function becomes $$y=\frac{ 5 }{ x-3 }$$... and if two units to the left, $$y=\frac{ 5 }{ x-(-2) }=\frac{ 5 }{ x+2 }$$

mathmale · Answer

Please use the info from these 2 examples to write your new formula if the graph of y=5/x is translated four units to the left.  Then, think about how you'd change the formula again to represent a vertical shift of +3 units.

anonymous · Answer

Okay. I was confused as to where in the equation the horisontal translation and the vertical translation go.

mathmale · Answer

Now you have two examples of horiz. translation.  Can you now modify the equation to reflect a horiz. translation of four units to the left?

anonymous · Answer

y=5/x+4

mathmale · Answer

$$y=\frac{ 5 }{ x+4 } $$would be better in that there's no doubt that the divisor is (x+4), but yes, you have the concept correct!

mathmale · Answer

Next, you have to move the whole graph up 3 units.  How will the equation change?

anonymous · Answer

y=(5/(x+4))+3

mathmale · Answer

Too cool for words!!  Ciaran is awesome!

anonymous · Answer

Thank you! Could you help me with another problem, please?

mathmale · Answer

Note:  Were you to move the whole graph downward by 5 units, you'd get $$y=\frac{ 5 }{ x+4 }-5$$

mathmale · Answer

Go ahead and post your next question in the "Ask a question" box.

anonymous · Answer

Oh, okay.