Answer:
[tex]|x|[/tex]
Step-by-step explanation:
Given function: [tex]g(x)=-3+2|x+5|[/tex]
The more basic function is [tex]|x|[/tex].
By adding 5 to it, it is shifted to the left by 5 units as [tex]|x+5|[/tex].
By multiplying by 2, it is stretched as [tex]2|x+5|[/tex].
By subtracting 3 from the resulting function, is is shifted to the down by 3 units as [tex]2|x+5|-3[/tex].
The graph of more basic function and its resulting form (after left shifting, stretching, and down shifting) are added together in the attachment.
