Answer: Third option
[tex]y = |x + 1|[/tex]
Step-by-step explanation:
The main function
[tex]f (x) = | x |[/tex]
has its vertex in the point (0, 0)
The function shown in the graph has its vertex in the point (-1, 0)
The transformation made to f (x) that moves its vertex one unit to the left is:
[tex]y = f (x + 1)[/tex]
After this transformation the new function is:
[tex]f (x) = | x + 1 |[/tex] Note that this function corresponds to the function plotted in the image.
Therefore the answer is the third option
