Algebra 1 : How to graph an absolute value function

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #1 : How To Graph An Absolute Value Function

Absolute_value

Which of these would most likely be the equation corresponding to the above graph?

Possible Answers:

Correct answer:

Explanation:

This is an absolute value graph. Its equation takes the form , in which  represent the number of units that the base graph  is translated right and up respectively.

 

Since the graph of  is translated two units right and one unit down,  and , so the equation would be:

or 

Example Question #2 : How To Graph An Absolute Value Function

Give the -intercept(s) of the graph of the function 

Possible Answers:

The graph has no -intercepts.

Correct answer:

Explanation:

To find the -intercept(s) of the graph, set  and solve for .

 

Rewrite this as the compound equation:

 or 

 

Solve each separately:

 

 

There are two -intercepts: 

Example Question #2 : How To Graph An Absolute Value Function

Absolute_value

 

Which of these would most likely be the equation corresponding to the above graph?

Possible Answers:

Correct answer:

Explanation:

This is an absolute value graph. Its equation takes the form , in which  represent the number of units that the base graph  is translated right and up respectively.

 

Since the graph of  is translated three units left and six units down,  and .

Plug these values into the general form of the equation:

Simplify:

Example Question #3 : How To Graph An Absolute Value Function

Possible Answers:

Correct answer:

Explanation:

Example Question #4 : How To Graph An Absolute Value Function

Possible Answers:

Correct answer:

Explanation:

Example Question #5 : How To Graph An Absolute Value Function

Possible Answers:

Correct answer:

Explanation:

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