[Algebra] How do I convert this parabola equation to vertex form with step-by-step instructions?

Question

How do I convert this parabola equation to vertex form with step-by-step instructions?

2x² - 4x + y + 5 = 0

to

y = -2(x - 1)² - 3

Can you show me how with step-by-step instructions?

Answer 1

http://www.flickr.com/photos/dwread/2808...

Answer 2

2x^2 - 4x + y + 5 = 0

y = -2x^2 + 4x - 5  (get the y by itself by moving everything else to the other side)

y = -2(x^2 - 2x........) - 5 (factor out the -2 from the first two terms)

y = -2(x^2 -2x + ___) - 5 + 2(___)  (you will complete the square by adding (-2 / 2)^2 inside the parentheses, and adding the opposite outside the parentheses with a factor of 2 to keep the equation balanced)

y = -2(x^2 - 2x + 1) - 5 + 2 (add 1 inside the parentheses to complete the square... since this is really (-2)(1), or -2, you  need to add 2 to keep the equation balanced

y = -2(x - 1)^2 - 3 <==== vertex form

vertex = (1,3)

shape factor = -2, so this opens downward and vertex is a max