f(x) to f(x -3) -6 translated ___ units to the ___ and ___ units ___

Answer 1

To translate the function $f(x)$ to $f(x-3)-6$, we can analyze the transformations step by step:

1. Horizontal Translation: The term $f(x-3)$ indicates a translation to the right by 3 units because we replace $x$ with $x-3$.

2. Vertical Translation: The term $-6$ indicates a downward translation by 6 units because we're subtracting 6 from the function.

Putting this together, we can complete your sentence:

The function $f(x)$ is translated 3 units to the right and 6 units down.