Answer:
(-3,4)
Explanation:
So we have the quadratic function:

The formula for the x-coordinate of the vertex is:

From the function, we can determine that a is 1, b is 6, and c is 13. Thus:

Multiply:

Divide:

Now, substitute this back into the function to solve for the y-coordinate:

Square and multiply:

Add:

So, the vertex is (-3,4)
And we're done!