I'm having a hard time understanding these

Let g(x) = 3(x+2)^2 + 4

a. Graph y=gx without a calculator (how do I graph it???, we haven't learned this yet)

b. Why is it not invertible?

c. Let f(x) = 3(x+2)^2 + 4, x>=-2, why is f invertible?

d. What is the domain of f^-1

e. Determine rule for f^-1 (x)