Question

I need the answer for the parentheses

Answer 1

Explanation:

To find the vertex, we need to put this into vertex form, which is done by completing the square on the quadratic. Begin by moving the 8 over to he other side of the equals sign:

`3x^2-6x=-8`

Now factor out the 3:

`3(x^2-2x)=-8`

Now take half the linear term, square it, and add it to both sides. Our linear term is 2. Half of 2 is 1, and 1 squared is 1:

`3(x^2-2x+1)=-8+3`

We added a 3 on the right because 3 times the 1 we added in is 3. Cleaning that up a bit gives us the perfect square binomial on the left and -5 on the right:

`3(x-1)^2=-5`

and when we move the -5 back over by adding we have

`3(x-1)^2+5=y` and our vertex is seen to be (1, 5)