If "helping you" means give you answers, we can't, because that would be against the forum rules. However, I will get you started, but in doing so I may be violating the forum rules.
Suppose f(x) is another function, f(x) = \sqrt{x}. I assume you know how to graph this.) The domain would be [0, ∞) and the range would be [0, ∞). If we look at f(x) + 5, this would mean f(x) + 5 = \sqrt{x} + 5, so if you graph this, you can see that the new graph has shifted up 5 units. This does not change the domain, but the range will change. The domain of f(x) + 5 is still [0, ∞), but this time the range is [5, ∞). Now look at f(x - 8), or f(x - 8) = \sqrt{x - 8}. If you graph this, the graph will shift 8 units to the right of f(x). The range will be the same, but this time the domain will be different. The domain of f(x) is [0, ∞), but the domain of f(x - 8) is [8, ∞). The range of both functions will be the same, [0, ∞). Again, you really should read the section in your book about graphical transformations. They'll probably use a letter as part of their notation, like f(x) + c ("c" is what my book uses). Or heck, you could probably Google all of this.
