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Lesson 1.9Graph Absolute Value Functions

- GPS
- MM1A1a
- MM1A1b
- MM1A1c

Essential Questions

- How do we represent functions using function

notation? - How do we graph and translate basic functions?

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

(No Transcript)

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

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

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

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

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

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

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.

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.

Example 2 Graph

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

Guided Practice

- Graph the function. Compare the graph with the

graph of .

Joke of the Day

- Which runs fasterhot or cold?

- HOTanyone can catch a cold?

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