# Algebra 1 : How to graph an absolute value function

## Example Questions

### Example Question #41 : Functions And Lines 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 #44 : Graphing

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: ### Example Question #46 : Graphing       Explanation: ### Example Question #47 : Graphing       Explanation: ### Example Question #48 : Graphing         