What are the coordinates of the vertex for f(x) = x2 + 6x + 13?
(4,4)
(-4,4)
(3,4)
(-3, 4)

ANSWER

(-3, 4)

EXPLANATION

The given function is

We complete the square to obtain the vertex form:

We add and subtract the square of half the coefficient of x.

The first three terms form a perfect square trinomial.

Comparing this to the vertex form;

h=-3 and k=4

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are