Question

The sum of the coordinates of the vertex of the parabola at y = x2 + 3 is _____.

Answer 1

Answer: The sum is 3.

Step-by-step 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