Lesson 1'9 Graph Absolute Value Functions

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Lesson 1.9Graph Absolute Value Functions

• GPS
• MM1A1a
• MM1A1b
• MM1A1c

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Essential Questions

• How do we represent functions using function
  notation?
• How do we graph and translate basic functions?

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Vocabulary

• Absolute Value The absolute value of a number a
  is the distance between a and 0 on a number line.
  The symbol represents the absolute value of
  a.
• Absolute Value Functions Transformations of the
  parent function .
• Graph of Parent Function for Absolute Value
  Functions

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Example 1
Compare the graph with the graph of f (x) x.
Make a table of values. Graph the function.
Compare the graphs of g and f.
a.
The graph of g(x) x 1 is a
______________________________ of the graph of
f (x) x.
horizontal shift 1 unit to the left
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Example 1
Compare the graph with the graph of f (x) x.
Make a table of values. Graph the function.
Compare the graphs of g and f.
b.
The graph of g(x) x - 2 is a
___________________________ of the graph of
f (x) x.
vertical shift 2 units down
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Checkpoint. Graph the function. Compare the graph
with the graph of f (x) x.
The graph of g is a ___________________________
of the graph of f.
horizontal shift 3 units to the right
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Checkpoint. Graph the function. Compare the graph
with the graph of f (x) x.
The graph of g is a ____________________ of
the graph of f.
vertical shift 2 units up
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Example 2
Compare the graph with the graph of f (x) x.
Make a table of values. Graph the function.
Compare the graphs of g and f.
a.
The graph of g(x) -2 x opens ______ and is a
________________ of the graph of f (x) x.
vertical stretch
down
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Example 2
Compare the graph with the graph of f (x) x.
Make a table of values. Graph the function.
Compare the graphs of g and f.
b.
The graph of g(x) -2 x opens ______ and is a
________________ of the graph of f (x) x.
vertical shrink
up
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Checkpoint. Graph the function. Compare the graph
with the graph of f (x) x.
The graph of g opens up
and is a vertical stretch of the graph of f.
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Checkpoint. Graph the function. Compare the graph
with the graph of f (x) x.
The graph of g opens down
and is a vertical shrink of the graph of f.
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Example 2 Graph

• Graph the function.
• Make a table.
• Graph the function.
• Compare the functions.

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Guided Practice

• Graph the function. Compare the graph with the
  graph of .

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Joke of the Day

• Which runs fasterhot or cold?

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• HOTanyone can catch a cold?