Question

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

Answer 1

the 3rd one in the picture

Answer 2

option 3

Explanation:

`f(x) = -|x -2| - 1`

The given equation is in the form of
`f(x) = a|x -h|+k`

where (h,k) is the vertex .

`f(x) = -|x -2| - 1`

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