[important i am currently at home, i'm in summer school for algebra 1. i'm taking a pre-test, once i finish this pre-test successfully i can leave summer school. .instructions: select the correct answer from the drop-down menu. consider the absolute value function: f(x)=-|x+2|-2 the vertex of the function is: (all the answers that are listed) (2,-2) (-2,2) (-2,-2) (2,2)

The vertex of the function is:

                             (-2,-2)

We are given a absolute value function f(x) in terms of variable "x" as:

We know that for any absolute function of the general form:

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)

(-2,-2)

Step-by-step explanation:

The parent function of the absolute function is f(x)=|x|.

General form of absolute function : , where (a,b)  is the vertex of the function.

Also  , when m<0 then the graph opens downwards.

when m>0 then the graph opens upwards.

Given : The absolute value function:

Comparing the given absolute function to with the general form of the absolute function , then we get

m= -1<0 , a= -2 and b= -2

Since m is negative , it means the graph of the function opens downwards .

∴, the vertex of the function is : (-2,-2)

g

step-by-step explanation: