The answer is
D.(n+3)!
We just need to simplify the expression
(n+4)!/(n+4) =(n+3)! * (n+4)/(n+4)
(n+4)!/(n+4) = (n+3)! * 1
(n+4)!/(n+4) = (n+3)!
Answer
Explanation
Translations move the parent function toward the left, right, downwards or upwards.
f(x) = 2 |x|
This stretches the function by a factor of 2, hence, it is not a translation.
f(x) = |x + 6|
This translates the parent absolut value functio