The vertex of the parabola below is at the point (1,3) and the point (2,6) is on the parabola. what is the equation of the parabola?

The vertex being given makes your life a whole lot easier. The equation is
y = a(x - 1)^2 + 3. That's what you have so far. You have enough information to solve for a. when x = 2, y = 6. So put those values into the equation and solve for a

6 = a(2 - 1)^2 + 3 Subtract 3 from both sides.
6 - 3 = a(2 -1)^2 Combine the brackets.
3 = a (1)^2
3 = a (1) Divide by 1
3/1 = a
a = 3

Now put that into the equation you started out with.
y = 3(x - 1)^2 + 3

C <<<<< answer 

The answer is 76° i believe