The parent absolute value function is reflected across the x-axis and translated right 2 units.

Step-by-step explanation:

Let as assume we need to find the function, when the parent  absolute value function is reflected across the x-axis and translated right 2 units.

The parent absolute value function is

If the function f(x) is reflected over the x-axis, then f(x) will become -g(x). The function will become: 

After that, the function is translated 2 unit to the right.

Substitute (x-2) for x, to find the new function.

Therefore, the required function is .