Answer: The sum is 3.
Explanation:
If we have a parabola, y = a*x^2 + b*x + c
We want to find the point (x, y) that corresponds to the vertex of that parabola.
The vertex of the parabola is at x value:
x = -b/2a
in this case
a = 1, b = 0, c = 3
then our vertex is at:
x = -0/2*1 = 0
Now we evaluate y(x) in this value and get:
y(0) = a*0^2 + 3 = 3
Then the vertex is at the point (0, 3)
the sum of the coordinates of the vertex is:
S = 0 + 3 = 3