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The ellipse equation \"\"

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To change the expressions (x 2- 2x ) and (y 2 - 4y ) into a perfect square trinomial,

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add (half the x coefficient)² and add (half the y coefficient)²to each side of the equation.

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The standard form for an ellipse is in a form = 1, So divide both sides of equation by 144 to set it equal to 1.

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Compare it to standard form of ellipse \"image\"

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a 2 > b 2

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If the larger denominator is under the "x" term, then the ellipse is horizontal.

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center (h, k ) = (1, -2)

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a  = length of semi-major axis = 4

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b  = length of semi-minor axis = 3.

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