Question

What is the equation of the function y= 5/x translated 4 units to the left and 3 units up

Answer 1

y = 5/(x +4) +3

Explanation:

g(x) = f(x -a) +b

is the function f(x) translated "a" units to the right and "b" units up. You want the function translated 4 left and 3 up, so you have a=-4, b=3. That makes ...

g(x) = f(x +4) +3 = 5/(x+4) +3

You want it as y=, so it is ...

y = 5/(x +4) +3