The graph of $f ( x ) = | x | - 2$ is the graph of $f ( x ) = | x |$ shifted 2 units down.

Name: The graph of $f ( x ) = | x | - 2$ is the graph of $f ( x ) = | x |$ shifted 2 units down.
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Question

Quizplus · Accepted Answer

The graph of $f(x)=|x|$ is a V-shaped graph that passes through the origin. The graph of $f(x)=|x|-2$ is the same V-shaped graph shifted 2 units down, which means that all the points on the graph are 2 units lower than their corresponding points on the graph of $f(x)=|x|$. Therefore, the statement is true.

The Graph Of f(x)=∣x∣−2f ( x ) = | x | - 2f(x)=∣x∣−2

The Graph Of $f ( x ) = | x | - 2$