If you apply the changes below to the reciprocal parent function, f(x) =1/x, what is the equation of the new function? shift 2 units left shift 9 units up

  g(x) = 1/(x+2) +9

Step-by-step explanation:

For any function f(x), a shift of h units right and k units up transforms it to ...

  g(x) = f(x -h) +k . . . . . . shift of (right, up) by (h, k)

Here, your shift is -2 right and 9 up, so the new function is ...

  g(x) = f(x -(-2)) +9

  g(x) = f(x +2) +9

  g(x) = 1/(x+2) +9