Worksheet – Section 2.5
Name___________________________
1. Use the numerical representation of f ( x) below to match the numerical information in
column A with the symbolic representation in column B.
x
f ( x)
-4
5
-2
1
0
6
Column A
2
2
4
7
Column B
(i) f ( x  2)
x
g ( x)
-4
7
-2
3
0
8
2
4
4
9
1 
(ii) f  x 
2 
x
h( x )
-2
5
-1
1
0
6
1
2
2
7
(iii) f ( x)  2
x
k ( x)
-2
5
0
1
2
6
4
2
6
7
(iv) f ( x)
x
m( x )
-8
5
-4
1
0
6
4
2
8
7
(v) f ( x  3)  4
x
n( x )
-4
-5
-2
-1
0
-6
2
-2
4
-7
(vi)  f ( x)
x
p( x)
4
5
2
1
0
6
-2
2
-4
7
(vii) f ( x  2)
x
q( x)
7
11
5
6
3
10
1
5
-1
9
(viii) f (2 x)
2. In your own words, how would the graph of y  3 f ( x  5)  4 compare to y  f ( x) ?
3. Write an expression that would represent the graph of y  f (x) that has been
a. expanded vertically by a factor of 5.
b. shifted 3 units to the right, then reflected about the y-axis.
c. Shrunk horizontally by a factor of 2.
d. reflected about the x-axis, then shifted 4 units downward.
e. reflected about the y-axis, then shifted 7 units to the left.