Step-by-step explanation:
According to the rules f(x) --> f'(x + a) is a horizontal shift right by a factor of -a, and f(x) --> f'(x) + a is a horizontal shift up by a factor of a, you can deduce that because x becomes x + 6, and |x| becomes |x| - 8, the translations are as shown above.
Hope it helps :) and let me know if you want me to elaborate.