Step 1:

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The vertices $\"\"$ and foci is $\"\"$ .

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The center of the ellipse is $\"\"$ .

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The foci of the ellipse is $\"\"$ .

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The vertices of the ellipse is $\"\"$ .

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The major axis is parallel to $\"\"$ -axis.

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The standard form of the ellipse equation when the axis is horizontal, with vertex at origin is

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$\"\"$ .

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Step 2:

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One of the foci is $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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The distance from center $\"\"$ to focus is $\"\"$ is $\"\"$ . One of the vertex is $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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The distance from center $\"\"$ to vertex is $\"\"$ is $\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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Step 3:

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Substitute $\"\"$ in standard form of the ellipse equation.

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$\"\"$

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The ellipse equation is $\"\"$

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Solution :

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The ellipse equation is $\"\"$

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