This is a horizontal parabola that opens to the right. I know this because the y-coordinate is the same for these two points and the focus is to the right of the vertex.
The basic equation for such a vertical parabola looks like
4p(x-h) = (y-k)^2
Since the vertex is (3,4), we now have 4p(x-3) = (y-4)^2.
p in this case is a positive number that is the difference between the x-coordinates of the vertex and focus: this difference is 6-3, or 3.
Thus, 4p(x-3) = (y-4)^2 becomes 4(3)(x-3) = (y-4)^2, or
12(x-3) = (y-4)^2 (answer)
