Question

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

Answer 1

Answer:

C

Step-by-step explanation:

Answer 2

Answer:

The graph of given function is shown below.

Step-by-step 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.