The table below contains the values of the function .
01234567
00.524.5812.51824.5

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:

x01234567
k(x)-1-0.513.5711.51723.5

then .

(a)

01234567
-2-1.502.5610.51622.5

(b)

x01234567
g(x)-100.524.5812.518

(c)

x01234567
m(x)-3-2-1.502.5610.516


You can earn partial credit on this problem.