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|.

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Absolute value functions and transformations.notebook

This is the absolute value parent function.

Table x f(x)=lxl y

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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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