From what I've gathered there's a definite order of operations regarding these problems. Please tell me if this is correct or not.

1) Shift

2) Scale

3) Apply the sign of the scale (if it is negative, reflect across the y axis)

Problem 3 (b):

Here, I pulled a (-1) out from the (2-t), giving me (-1)(t-2). On this step, I don't know whether or not I should factor out the (-1). If I factor it out, I shift right, and then flip the function across the y-axis. If I don't, I'll shift left and then flip across the y-axis.

**Is factoring out the -1 the wise thing to do here?**

Problem 3 (c):

Here, I shifted the function left one, and applied the coefficient of t which is 2. To the best of my understanding this effectively halves all values of t0.

Problem 3 (d):

I am aware of what a delta function is to a certain extent. I know that it has a value of 0 at all values of t other than t0 at which it will have a value of 1 multiplied by the value of x(t) at that t0. If I applied the function, would I graph two impulses, one at t=-3/2 where y(t) = 1, and the other at t=3/2?

I am interested in fully understanding how to do this, not just getting the right answers on my homework. If anyone could point me in the direction of a learning source for this material, it would be greatly appreciated.

Thanks in advance!

Links to my solutions and the assigned work:

http://i929.photobucket.com/albums/ad139/Halogeek454/001_1.jpg

http://i929.photobucket.com/albums/ad139/Halogeek454/001.jpg