Graphing a transformation of a step function is exactly like graphing the transformation of any other thing that we know. So we know what the step function looks like, it starts at the origin and then goes flat up flat so on and so forth, so a transformation is going to occur exactly the same.
So what we're looking at here is a transformation of the greatest integer of x plus 1 minus 3. So what we know is that this plus 1 moves the graph back 1 and the minus 3 moves it down 3.
So originally we were on the origin with our first step, what we're going to do is move that origin point back 1 down 3 and then just start our graph right here, so we know we go over open circle, closed circle so on and so forth.
So transformations of the step function are exactly the same as any other transformation that you already know.