Answer:
The graph at the bottom.
Step-by-step explanation:
We have been given equation of an absolute value function [tex]y+7=|x+5|[/tex]. We are asked to choose the graph of the given function.
We know that standard absolute function is in form [tex]y=|x-h|+k[/tex], where, (h,k) represents vertex of function.
Let us convert our given function in standard form.
[tex]y+7-7=|x+5|-7[/tex]
[tex]y=|x+5|-7[/tex]
[tex]y=|x-(-5)|-7[/tex]
Since the vertex of our given function would be at point [tex](-5,-7)[/tex], therefore, the graph at the bottom is the correct choice.
