SOLUTION: 3x^(2)+6x+y^(2)-6y=-3 How do i put this into form for graphing

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Question 741619: 3x^(2)+6x+y^(2)-6y=-3 How do i put this into form for graphing
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the squares for the x and for the y.

3%2A%28x%5E2%2B2x%29%2B%28y%5E2-6y%29=-3
The x will need use of 1, and the y will need the use of 3%5E2=9.

3%2A%28x%5E2%2B2x%2B1%29-3%2A1%2B%28y%5E2-6y%2B9%29-9=-3, study this step very carefully
3%2A%28x%2B1%29%5E2%2B%28y-3%29%5E2-3-9=-3
3%28x%2B1%29%5E2%2B%28y-3%29%5E2=-3%2B12
3%28x%2B1%29%5E2%2B%28y-3%29%5E2=9, now divide both sides by 9
highlight%28%28x%2B1%29%5E2%2F3%2B%28y-3%29%5E2%2F9=1%29

Now easily graphable. Center (-1, 3), length of major axis is 3 and is vertical; length of minor axis is sqrt%283%29 and is horizontal.