Translate ƒ (x) = |x| so that it's translated down by 2 units and to the left 6 units. What's the new function g (x) ? A) g (x) = |x - 6| + 2

B) g (x) = |x - 6| - 2

C) g (x) = |x + 6| + 2

D) g (x) = |x + 6| - 2

D) g (x) = |x + 6| - 2

Step-by-step explanation:

To translate f (x) h units to the right and k units up, you use the transformation ...

g (x) = f (x - h) + k

You want to translate your function 6 units left and 2 units down, so (h, k) = (-6, - 2) and the transformed function is ...

g (x) = |x + 6| - 2

D) g (x) = |x + 6| - 2