Answer:
[tex]g(x)=|x+8|-2[/tex]
Step-by-step explanation:
The vertex is at (-8, 2), so g(x)=a|x+8|+2.
Considering g(-6),
[tex]g(-6)=4=a|-6+8|+2 \\ \\ 2=2a \\ \\ a=1 \\ \\ \therefore g(x)=|x+8|-2[/tex]
