Prentice Hall's Online Lesson Quiz Enter Web Code: aga–0205
A function
of the form 
,
where
is an
absolute value function. The graph of an absolute value equation is
represented by the equation 
.
Graphs of absolute value equations in two variables are "v-shaped."
The vertex of a function is a point where
the function reaches a maximum or minimum. In the example below, you can see the
vertex is located at the point (3, – 2). From the equation, the vertex
is (– b, c). In general, the vertex for any absolute value
graph in the form ,
can be found at 
.
| Ex. #1: |
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| Ex. #2: |
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| Note that the graph of y = |x | is a reflection over the x-axis of the graph of y = |x|. | |
