Question

please help...
how do yturn this into a vertext form?y=-2x^2+12x-23

Answer 1

complete the square

Answer 2

how?

Answer 3

http://en.wikipedia.org/wiki/Complete_the_square

Answer 4

completing the square basically works off the idea that any quadratic is just a constant number off from being able to be written as a perfect square-- (x+3)^2, for example

Answer 5

How I usually approach the process is I will first divide off any coefficient on the leading term, then isolate all constants to one side

Answer 6

\[y=-2x^2+12x-23\]
\[-y/2 - (23/2) = x^2 - 6x\]