For translations like this use the formula:
f(x) = (x - h)² + k
where h is the lateral movement/shifts on the x-axis and k is the vertical movement/shifts on the y-axis.
Since g(x) is a movement to the right 4 units and up 9 units, your h is a positive 4 and k is a 9:
g(x) = (x - 4)² + 9
Here's a picture of your original graph f(x) and your translation g(x)
f(x) = (x - h)² + k
where h is the lateral movement/shifts on the x-axis and k is the vertical movement/shifts on the y-axis.
Since g(x) is a movement to the right 4 units and up 9 units, your h is a positive 4 and k is a 9:
g(x) = (x - 4)² + 9
Here's a picture of your original graph f(x) and your translation g(x)