Question

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

Answer 1

C

Explanation:

Answer 2

The graph of given function is shown below.

Explanation:

The absolute parent function is g(x)=|x|. The graph of parent function is a V-shape d and vertex of the function is origin.

The given function is

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

The vertex from of an absolute function is

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

where, a is a constant and (h,k) is vertex of the function.

From (1) and (2) we get

`a=-1,h=0,k=-2`

The value of a is -1. The value of a is negative it means the graph of parent function reflect across x-axis.

The vertex of the function is (0,-2). It means the graph of parent function shifts 2 units down.

The graph of given function is shown below.