You have to put this in vertex form by completing the square in order to determine the vertex. Begin by setting the quadratic equal to 0 then moving the 12 over by subtraction:

The rules are to take half the linear term, square it, and add it to both sides. Our linear term is 8. Half of 8 is 4, and 4 squared is 16. So we add 16 to both sides:

During this process we have created a perfect square biomial on the left. We will state that, along with simplifying on the right:

Now we will move the 4 back over and set it back to equal y:

And from this you can see that the coordinates of the vertex are (-4, -4)

## Answers ( )

Answer:(-4, -4)

Step-by-step explanation:You have to put this in vertex form by completing the square in order to determine the vertex. Begin by setting the quadratic equal to 0 then moving the 12 over by subtraction:

The rules are to take half the linear term, square it, and add it to both sides. Our linear term is 8. Half of 8 is 4, and 4 squared is 16. So we add 16 to both sides:

During this process we have created a perfect square biomial on the left. We will state that, along with simplifying on the right:

Now we will move the 4 back over and set it back to equal y:

And from this you can see that the coordinates of the vertex are (-4, -4)