Answer:
The graph of given function is shown below.
Step-by-step explanation:
The absolute parent function is g(x)=|x|. The graph of parent function is a V-shape d and vertex of the function is origin.
The given function is
[tex]f(x)=-|x|-2[/tex] .... (1)
The vertex from of an absolute function is
[tex]f(x)=a|x-h|+k[/tex] .... (2)
where, a is a constant and (h,k) is vertex of the function.
From (1) and (2) we get
[tex]a=-1,h=0,k=-2[/tex]
The value of a is -1. The value of a is negative it means the graph of parent function reflect across x-axis.
The vertex of the function is (0,-2). It means the graph of parent function shifts 2 units down.
The graph of given function is shown below.
