$\"\"$

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The ellipse is $\"\"$ .

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The ellipse which is in the form of $\"\"$ , $\"\"$ has foci $\"\"$ where $\"\"$ , and has verticies at $\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Rewrite this equation in the form of $\"\"$ .

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$\"\"$ .

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Where $\"\"$ and $\"\"$ .

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$\"\"$

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Therefore $\"\"$ .

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Therefore foci is at $\"\"$ .

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Vertices is at $\"\"$ .

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$\"\"$

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Graph :

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(1) Draw the coordinate plane.

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(2) Graph the ellipse $\"\"$ .

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$\"\"$

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Observe the graph :

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The Blue colour represents the foci $\"\"$ .

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The Green colour represents the vertices $\"\"$ .

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$\"\"$

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Graph of the ellipse $\"\"$ :

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$\"\"$