<h2>
Answer:</h2>
The vertex of the function is:
(-2,-2)
<h2>
Step-by-step explanation:</h2>
We are given a absolute value function f(x) in terms of variable "x" as:
![f(x)=-|x+2|-2](https://tex.z-dn.net/?f=f%28x%29%3D-%7Cx%2B2%7C-2)
We know that for any absolute function of the general form:
![f(x)=a|x-h|+k](https://tex.z-dn.net/?f=f%28x%29%3Da%7Cx-h%7C%2Bk)
the vertex of the function is : (h,k)
and if a<0 the graph of function opens downwards.
and if a>0 the graph of the function opens upwards.
Hence, here after comparing the equation with general form of the equation we see that:
a= -1<0 , h= -2 and k= -2
Since a is negative , hence, the graph opens down .
Hence, the vertex of the function is:
(-2,-2)