Answer:
[tex]f(x) = |x+6|[/tex]
Step-by-step explanation:
Let be [tex]f(x) = |x|[/tex] the parent absolute value function. A translation of such function has the form of [tex]f(x) = |x-k|[/tex], where [tex]k \in \mathbb{R}[/tex]. Then, the right choice is:
[tex]f(x) = |x+6|[/tex]