$\"\"$

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Foci of the ellipse $\"\"$ and vertex is $\"\"$ .

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The $\"\"$ coordinate in foci and vertices are same, so the ellipse is horizontal.

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Standard form of horizontal ellipse $\"\"$ , where $\"image\"$ .

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$\"image\"$ is length of semi major axis and $\"image\"$ is length of semi minor axis.

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Center is $\"\"$ , vertices $\"\"$ .

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Foci $\"\"$ and $\"image\"$ .

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Mid point of foci is center.

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Center $\"\"$

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$\"\"$ .

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$\"image\"$ is the distance from center to each focus.

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Find distance between $\"\"$ and $\"\"$ .

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$\"\"$ .

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Consider $\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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Substitute $\"\"$ , $\"\"$ and $\"\"$ in standard form.

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$\"\"$

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$\"\"$

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$\"\"$

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The ellipse equation is $\"\"$ .