## Pologirl19 Group Title Can someone please help me I am stuck... How do the graphs of y=1/x and y=5/x+6 compare? one year ago one year ago

1. stamp Group Title

$y_{1}=\frac{1}{x},\ y_{2}=\frac{5}{x+6}$Can you visualize y1 or y2? If so, draw a sketch of the graph(s)

2. stamp Group Title

It might help to think of y2 as$y_{2}=5(\frac{1}{x+6})$

3. Pologirl19 Group Title

What happened to the other x?|dw:1360212091432:dw|

4. Pologirl19 Group Title

Thats what my graph is suppose to look like, but I need to know how they compare.

5. blurbendy Group Title

is the second one y = (5/x) +6 or y = (5) / (x+6) ?

6. Pologirl19 Group Title

The second one

7. ZakaullahUET Group Title

|dw:1360212481953:dw|

8. blurbendy Group Title

I think you have the graphs for y = 1/x and y = (5/x) +6 not (5) / (x +6)

9. ZakaullahUET Group Title

|dw:1360212546332:dw|

10. ZakaullahUET Group Title

|dw:1360212588584:dw|

11. Pologirl19 Group Title

It does not say on my graph

12. ZakaullahUET Group Title

|dw:1360212632344:dw|

13. Pologirl19 Group Title

^Thats the right graph but how do they compare

14. ZakaullahUET Group Title

i showed points on both the graphs when the +6 term comes the graph is moved to the left 6 steps

15. ZakaullahUET Group Title

|dw:1360213092724:dw|

16. Pologirl19 Group Title

Oh okay

17. Pologirl19 Group Title

Well it still doesnt make sense

18. ZakaullahUET Group Title

it does both are same things but the one graph is a little wide near the origin and u get y=5 for x=1

19. ZakaullahUET Group Title

and then it is moved to the left

20. ZakaullahUET Group Title

both are hyperbolas but only thats the difference

21. Pologirl19 Group Title

well I need an equation

22. ZakaullahUET Group Title

u see the magniture of the function increased with multiplying by 5 and graph shifted to the left with the 6

23. ZakaullahUET Group Title

magnitude

24. agent0smith Group Title

For an equation to compare them... lets call them f1(x) and f2(x) $f _{1}(x) = y _{1} =\frac{ 1 }{ x }$$f_{2}(x) = y _{2} =\frac{ 5 }{ x+6 } = 5\left( \frac{ 1 }{ x+6 } \right)$

25. agent0smith Group Title

$f _{2}(x) =5 \times f _{1}(x+6)$