The vertex on the quadratic equation can be determined directly from the formula:
y=c(x-h)^2+k
Where (h,k) represent the vertex of the parabola.
The sign in -h doesn't mean that the x-coordinate is negative, and here is a little trick, the x-coordinate will always be the oposite of the value written in the square term. So the actual value of x is h.
For the y-coordinate you use it just as itis written in the formula.
For the quadratic formula in the exercise:
y=2(x-3)²+4
x-coordinate is 3
y-coordinate is 4
Vertex (3,4)
The correct option is the first one.