Based on the information, g(x) = |x - 8| - 6 is the translated function.
If the parent function is f(x) = |x|, and it's translated 8 units to the right and 6 units down, the new function can be expressed as:
g(x) = |x - 8| - 6
In this new function g(x):
|x - 8| represents the translation 8 units to the right.
Subtracting 6 (-6) at the end represents the translation 6 units down.
So, g(x) = |x - 8| - 6 is the translated function.