Which graph represents the function f(x) = −|x − 2| − 1?

Answer:
option 3
Step-by-step explanation:
[tex]f(x) = -|x -2| - 1[/tex]
The given equation is in the form of [tex]f(x) = a|x -h|+k[/tex]
where (h,k) is the vertex .
[tex]f(x) = -|x -2| - 1[/tex]
h=2 and k=-1 . the value of a=-1
Since the value of 'a' is negative so the graph will be upside down
option 3 is upside down and vertex at (2,-1)
So option 3 graph represents the function