Hello, 
I don't really understand functions. It has been requested that
I draw each transformation or combination of transformation of 
y = f(x) on each separate axis. 

Given f(x) graphed as follows: 

(-4,1) (-2,1) (0,2) (1,-1) (2,1) (4,-1) 

-------------------------------------

1. f(x-1) Where do I start? Your help is very much appreciated

The domain of f = {-4, -2, 0, 1, 2, 4}
The range of f = {1, 1, 2, -1, 1, -1}

Let g(x) = x-1

Then f(x-1) = f(g(x))

For the transformation to work, the range 
of g must be the domain of f(x)

So the range of g = {-4, -2, 0, 1, 2, 4}

Now we must find the
domain of g defined by g(x) = x-1
from its range:

x-1 = -4 implies x = -3
x-1 = -2 implies x = -1
x-1 = 0  implies x = 1
x-1 = 1  implies x = 2
x-1 = 2  implies x = 3
x-1 = 4  implies x = 5

So the domain of g must be {-3, -1, 1, 2, 3, 5}


        g(x)=     f(g(x))= 
 x   g    x-1  f   f(x-1)
-3 -----> -4 ----->  1
-1 -----> -2 ----->  1
 1 ----->  0 ----->  2
 2 ----->  1 -----> -1
 3 ----->  2 ----->  1
 5 ----->  4 -----> -1 

So f(x-1) = f(g(x)) = {(-3,1),(-1,1),(1,2),(2,-1),(3,1),(5,-1)}

Now plot those 6 points and you'll have it.

Edwin