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

User Demz
by
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2 Answers

1 vote

Answer:

C

Explanation:

User Monae
by
5.6k points
3 votes

Answer:

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.

Which graph represents the function f(x)=-|x|-2 ?-example-1
User RailsEnthusiast
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