I can graph an absolute value function by performing ...
[Pages:24]Absolute value functions and transformations.notebook
Absolute Value Functions and Graphs
October 14, 2014
Objective:
I can graph an absolute value function by performing transformations on the parent function f (x) = |x|.
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Absolute value functions and transformations.notebook
Vocabulary
October 14, 2014
? The function f(x) = |x| is an absolute value function.
? The highest or lowest point on the graph of an absolute value function is called the vertex.
? An axis of symmetry of the graph of a function is a vertical line that divides the graph into mirror images.
An absolute value graph has one axis of symmetry that passes through the vertex.
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Absolute value functions and transformations.notebook
Absolute Value Function
October 14, 2014
? Absolute Value Function
? Vertex ? Axis of Symmetry
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Absolute value functions and transformations.notebook
Building the Absolute Value Function
The absolute value function is defined by f (x) = |x|.
October 14, 2014
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Absolute value functions and transformations.notebook
This is the absolute value parent function.
Table x f(x)=lxl y
October 14, 2014
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Absolute value functions and transformations.notebook
Parent Function
October 14, 2014
? Vshape ? It is symmetric about the yaxis (Axis of Symmetry) ? The vertex is the minimum point on the graph
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Absolute value functions and transformations.notebook
Translation
A translation is a transformation
that shifts a graph horizontally or vertically, but doesn't change
the overall shape or orientation.
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October 14, 2014 7
Absolute value functions and transformations.notebook
October 14, 2014
Oct 1410:28 AM
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