Answer:
A
Step-by-step explanation:
Consider the parent function [tex]y=|x|.[/tex] The graph of this function is represented as red graph in attached diagram.
Now consider the function [tex]y=|x+2|.[/tex]
Remind main translations of the graph of the function [tex]y=f(x):[/tex]
- [tex]y=f(x-a)[/tex] - translation a units to the right;
- [tex]y=f(x+a)[/tex] - translation a units to the left;
- [tex]y=f(x)+a[/tex] - translation a units up;
- [tex]y=f(x)-a[/tex] - translation a units down.
In your case, the graph of the function [tex]y=|x+2|[/tex] is translated graph of the function [tex]y=|x|[/tex] 2 units to the left (blue graph). So, correct answer is option A.
