Question

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

Answer 1

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

Answer 2

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

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