Igot this question wrong and i don't understand explain

what are the coordinates of the vertex for f(x) = x^2 + 4x + 10?

a) ( -2, 2)
b) ( 2, 2)
c) ( -2, 6)
d) ( 2, 6)

Option C (-2, 6)

Step-by-step explanation:

Let the equation of a parabola, with a, b, c real numbers. So the vertex of this function is:

In this case, the parable is:

Thus:

So the vertex of this parable is:

We know that the vertex of this parable is at the point

Finally the vertex is at the point (-2.6)

The correct option is: C (-2, 6)

include a picture of the drawing in order for me to

step-by-step explanation: