Question

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**.