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Answer :

Answer:

C

Step-by-step explanation:

The graph of the absolute value function y = | x | has its vertex at the origin and has the shape V

The graph here is the absolute value translated vertically 3 units down, so

y = | x | - 3 → C

Hi there!  

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I believe your answer is:  

[tex]c) |x| - 3[/tex]

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Here’s why:  

  • The graph given is an absolute value function. This eliminates options A and B, since they are not absolute value functions.  
  • The graph shows the parent function of f(x) = |x| that is shifted 3 units down. This can be written as f(x) = |x| - 3.

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Option C should be the correct answer.  

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Hope this helps you. I apologize if it’s incorrect.  

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