Answer:
The description is that the function was translated 4 units to the right and 8 units down.
Explanation:
Translations:
Translating a function f(x) a units to the right is the same as finding f(x - a).
Translating a function f(x) a units to the left is the same as finding f(x + a).
Translating a function f(x) a units up is the same as finding f(x) + a.
Translating a function f(x) a units down is the same as finding f(x) - a.
y= x² to y = (x-4)²-8
First at the domain, x becomes x - 4, so f(x) becomes f(x - 4), that is, the function was translated 4 units to the right.
Then the function is subtracted by 8, that is, it was translated 8 units down.
The description is that the function was translated 4 units to the right and 8 units down.