f(x) to f(x - 5) +4 translated ____ units to the ___ and ___ units __

The transformation from \( f(x) \) to \( f(x - 5) + 4 \) involves two changes:

1. Horizontal Translation: The term \( f(x - 5) \) indicates a horizontal translation. Specifically, it translates the graph of the function to the right by 5 units. This is because subtracting within the function's argument (\( x - 5 \)) moves the graph to the right.

2. Vertical Translation: The term \( + 4 \) indicates a vertical translation. This shifts the graph of the function upward by 4 units.

So, to fill in the blanks:

The function \( f(x) \) translated 5 units to the right and 4 units upward.