# Algebra 1 : How to graph an absolute value function

## Example Questions

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

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

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

The graph has no -intercepts.

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 #1 : How To Graph An Absolute Value Function

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

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:

Explanation:

Explanation: