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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?
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.
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 #3 : How To Graph An Absolute Value Function
Which of these would most likely be the equation corresponding to the above graph?
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: