What is the equation of the function y = (3/x) translated 4 units to the right and 5 units down?

for the rational functions practice test

1. A y=9wx/z
2. C $75.00
3. B 2nd graph
4. D 4th graph
5. A y=3/x-4 -5
6. C x=-1, x=-8
7. D x=-5,-3 and no holes
8. A y=-1/2
9. C third graph
10. A t+7/t+4, t doesn't = 4 t doesn't = -4
11.C (x+3)(x-5)/x-4 x=/ -6 x =/-2, x=/4
12. B 2x^2+25/x(x+5)
13. C -2n+3/n-4
14. D 2d^2+4d-38/(d+5)(d+3)
15. B n-7/(n+4)(n-1)
16. D -20

Y=3/(x-4)-5

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To find the equation of the function after it has been translated 4 units to the right and 5 units down, we need to understand the steps involved:

Step 1: Start with the original function, y = 3/x.

Step 2: Translate the function 4 units to the right. To do this, we subtract 4 from the variable x.

Step 3: Translate the function 5 units down. To do this, we subtract 5 from the variable y.

By following these steps, we can update the function to incorporate the translations.

Starting with y = 3/x:
- Translate 4 units to the right by subtracting 4 from x: y = 3/(x - 4).
- Translate 5 units down by subtracting 5 from y: y - 5 = 3/(x - 4).

So, the equation of the function after it has been translated 4 units to the right and 5 units down is y - 5 = 3/(x - 4).

y-4 = 3/(x-4) maybe?