The table below contains the values of the function .
0
1
2
3
4
5
6
7
0
0.5
2
4.5
8
12.5
18
24.5
Each function in parts (a)-(c) is a translation (horizontal/vertical/or both) of . In each case the function can be written in the form , where and denote the corresponding horizontal and vertical shifts. For each of the tables below find a possible formula by applying transformations to .
EXAMPLE:
if the values for a function are:
x
0
1
2
3
4
5
6
7
k(x)
-1
-0.5
1
3.5
7
11.5
17
23.5
then .
(a)
0
1
2
3
4
5
6
7
-2
-1.5
0
2.5
6
10.5
16
22.5
(b)
x
0
1
2
3
4
5
6
7
g(x)
-1
0
0.5
2
4.5
8
12.5
18
(c)
x
0
1
2
3
4
5
6
7
m(x)
-3
-2
-1.5
0
2.5
6
10.5
16
You can earn partial credit on this problem.