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

Answer 1

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.