Section 2.6
Horizontal Geometric Transformations
209
Version: Fall 2007
2.6
Exercises
Pictured below is the graph of a function
f
.
x
10
y
10
f
The table that follows evaluates the
function
f
in the plot at key values of
x
.
Notice the horizontal format, where the
first point in the table is the ordered pair
(
−
6
,
0)
.
x
−
6
−
4
−
2
0
2
4
f
(
x
)
0
4
4
0
−
2
0
Use the graph and the table to complete
each of following tasks for
Exercises 1

10
.
i.
Set up a coordinate system on graph
paper. Label and scale each axis, then
copy and label the original graph of
f
onto your coordinate system.
Re
member to draw all lines with a ruler.
ii.
Use the original table to help com
plete the table for the given function
in the exercise.
iii. Using a different colored pencil, plot
the data from your completed table
on the
same
coordinate system as the
original graph of
f
. Use these points
Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/
1
to help complete the graph of the given
function in the exercise, then label
this graph with its equation given in
the exercise.
1.
y
=
f
(2
x
)
.
x
−
3
−
2
−
1
0
1
2
y
2.
y
=
f
((1
/
2)
x
)
.
x
−
12
−
8
−
4
0
4
8
y
3.
y
=
f
(
−
x
)
.
x
−
4
−
2
0
2
4
6
y
4.
y
=
f
(
x
+ 3)
.
x
−
9
−
7
−
5
−
3
−
1
1
y
5.
y
=
f
(
x
−
1)
.
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 Geometry, Horizontal Geometric Transformations

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