Section 2.5
Vertical Geometric Transformations
183
Version: Fall 2007
2.5
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
(
−
4
,
0)
.
x
−
4
−
3
0
2
5
6
f
(
x
)
0
4
4
−
4
−
4
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
= 2
f
(
x
)
.
x
−
4
−
3
0
2
5
6
y
2.
y
= (1
/
2)
f
(
x
)
.
x
−
4
−
3
0
2
5
6
y
3.
y
=
−
f
(
x
)
.
x
−
4
−
3
0
2
5
6
y
4.
y
=
f
(
x
)
−
2
.
x
−
4
−
3
0
2
5
6
y
5.
y
=
f
(
x
) + 4
.
x
−
4
−
3
0
2
5
6
y
6.
y
=
−
2
f
(
x
)
.
x
−
4
−
3
0
2
5
6
y
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
184
Chapter 2
Functions
Version: Fall 2007
7.
y
= (
−
1
/
2)
f
(
x
)
.
x
−
4
−
3
0
2
5
6
y
8.
y
=
−
f
(
x
) + 3
.
x
−
4
−
3
0
2
5
6
y
9.
y
=
−
f
(
x
)
−
2
.
x
−
4
−
3
0
2
5
6
y
10.
y
= (
−
1
/
2)
f
(
x
) + 3
.
x
−
4
−
3
0
2
5
6
y
11.
Use your graphing calculator to draw
the graph of
y
=
√
x
.
Then, draw the
graph of
y
=
−
√
x
. In your own words,
explain what you learned from this exer
cise.
12.
Use your graphing calculator to draw
the graph of
y
=

x

.
Then, draw the
graph of
y
=
−
x

. In your own words,
explain what you learned from this exer
cise.
13.
Use your graphing calculator to draw
the graph of
y
=
x
2
. Then, in succession,
draw the graphs of
y
=
x
2
−
2
,
y
=
x
2
−
4
,
and
y
=
x
2
−
6
. In your own words, ex
plain what you learned from this exer
cise.
14.
Use your graphing calculator to draw
the graph of
y
=
x
2
. Then, in succession,
draw the graphs of
y
=
x
2
+2
,
y
=
x
2
+4
,
and
y
=
x
2
+ 6
. In your own words, ex
plain what you learned from this exer
cise.
15.
Use your graphing calculator to draw
the graph of
y
=

x

. Then, in succession,
draw the graphs of
y
= 2

x

,
y
= 3

x

,
and
y
= 4

x

. In your own words, explain
what you learned from this exercise.
16.
Use your graphing calculator to draw
the graph of
y
=

x

. Then, in succession,
draw the graphs of
y
= (1
/
2)

x

,
y
=
(1
/
3)

x

, and
y
= (1
/
4)

x

. In your own
words, explain what you learned from
this exercise.
Pictured below is the graph of a function
f
.
In
Exercises 17

22
, use this graph
to perform each of the following tasks.
x
10
y
10
f
i.
Set up a coordinate system on a sheet
of graph paper. Label and scale each
axis. Make an exact copy of the graph
of
f
on your coordinate system.
Re
member to draw all lines with a ruler.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Geometry, Graph of a function, Vertical Geometric Transformations

Click to edit the document details