SOLUTION: hi, how can i rearrange y=6-x-2*x^2 into parabola equation?

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Question 751519: hi,
how can i rearrange y=6-x-2*x^2 into parabola equation?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
It already is an equation of a parabola. Are you wishing for standard form? Are you hoping to put into general form?

You have y=-2x%5E2-x%2B6.
You can complete the square to process the equation into standard form so you might easily graph the parabola.

You would add and subtract something.

y=-2%28x%5E2%2B%281%2F2%29x%2B3%29
You need to use %281%2F%282%2A2%29%29%5E2=1%2F16.

y=-2%28x%5E2%2B%281%2F2%29x%2B1%2F16%2B3-1%2F16%29
y=-2%28%28x%5E2%2B%281%2F2%29x%2B1%2F16%29%2B3-1%2F16%29

The trinomial part %28x%5E2%2B%281%2F2%29x%2B1%2F16%29 is grouped specifically because that part can be factored; being a square trinomial.
..
Continue to simplify.