Question

Consider the absolute value function f(x)=-|x+2|-2 The vertex of the function is

Answer 1

(-2,-2)


Since it has a negative in front of the absolute value, the graph is a downward cone.

Answer 2

The vertex of the given function is (-2,-2).

Explanation:

The given absolute function is

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

The vertex form of an absolute function is

`g(x)=a|x-h|+k` ..... (2)

Where, (h,k) is vertex of the absolute function.

From (1) and (2), we get

`a=-1,h=-2,k=-2`

Therefore the vertex of the given function is (-2,-2).