The possible functions are:
[tex]f(x) = |x + 0.14|[/tex] and [tex]f(x) = |x + 12|[/tex]
The parent function of an absolute value function is:
[tex]f(x) = |x|[/tex]
From the diagram (see attachment), we can see that the function is shifted to the right by few units.
The rule of this translation is:
[tex](x,y) \to (x + b,y)[/tex]
Where b represents the number of units.
So, we have:
[tex]f(x) = |x + b|[/tex]
From the list of given options, the possible functions are:
[tex]f(x) = |x + 0.14|[/tex] and [tex]f(x) = |x + 12|[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
