SOLUTION: How would I change this equation into standard form? x^2 - 4y - 4x + 24y = 36 What would the steps be?

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Question 762761: How would I change this equation into standard form?
x^2 - 4y - 4x + 24y = 36
What would the steps be?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How would I change this equation into standard form?
x^2 - 4y - 4x + 24y = 36
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complete the square on the x-terms:
x^2 - 4x + 4 + 20y = 36 + 4
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(x-2)^2 = -20y+40
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(x-2)^2 = -20(y-2)
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y-2 = (-1/2)(x-2)^2
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y = (-1/2)(x-2)^2 + 2
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Cheers,
Stan H.
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