Answer:
The vertex of the graph is (-3,1)
Step-by-step explanation:
Here, we want to rewrite the given quadratic equation in the vertex form
We have the vertex form as;
y = a(x-h)^2 + k
where the vertex is (h,k)
Now, by completing the square, we have to divide the coefficient of x by 2, then square; after which we add to both sides; prior to this, we have to replace y by 0
Thus, we have it as follows;
x^2 + 6x + 10 = 0
x^2 + 6x + 10 + 3^2 = 3^2
x^2 + 6x + 19 = 9
x^2 + 6x + 9 = 9-10
(x + 3)^2 = -1
(x + 3)^2 + 1 = 0
So we have the vertex as ;
(h,k) = (-3,1)
