Question

I need the answer for the parentheses

Answer 1

Answer:

Step-by-step 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)