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I need the answer for the parentheses

I need the answer for the parentheses-example-1
User Dileping
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Answer:

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)

User Alex Sexton
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