Respuesta :
Answer:
The correct option is 1.
Step-by-step explanation:
The given function is
[tex]y=|x|[/tex]
It is an absolute function. The transformation of function is defined as
[tex]y=|x+a|+b[/tex]
Where, a is horizontal shift and b is vertical shift.
If a>0, then graph shifts a units left, if a<0, then graph shifts a units right.
If b>0, then graph shifts b units up, if b<0, then graph shifts b units down.
If is given that the graph translate 2 units left. Therefore the value of a is 2 and the value of b is 0.
The required function is
[tex]y=|x+2|+0[/tex]
[tex]y=|x+2|[/tex]
Therefore the correct option is 1.