$\"\"$ \ \

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

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

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

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The $\"\"$ -coordinate of vertices and foci are same, so the ellipse is vertical. \ \

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The standard form of ellipse is $\"\"$ . \ \

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where $\"\"$ is the center of the ellipse, $\"\"$ is the length of the major axis and $\"\"$ is the length of the minor axis. \ \

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The distance between center and vertex is $\"\"$ . \ \

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The distance between center and focus is $\"\"$ . \ \

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$\"\"$ . \ \

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$\"\"$ \ \

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$\"image\"$ is the distance between center and vertex. \ \

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$\"\"$

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$\"\"$ is the distance between center and focus. \ \

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$\"\"$

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Now $\"\"$ .

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$\"\"$

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Substitute the values of $\"\"$ , $\"\"$ and $\"\"$ in standard form of ellipse.

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$\"\"$

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The equation of ellipse is $\"\"$ .

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$\"\"$

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Graph the ellipse. \ \

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Graph the equation $\"\"$ . \ \

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Plot the center point $\"\"$ . \ \

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Plot the focus points $\"\"$ and $\"\"$ .

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Plot the vertex points $\"\"$ and $\"\"$ .

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Plot the two points above and below the center $\"\"$ and $\"\"$ .

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$\"\"$ . \ \

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The equation of ellipse is $\"\"$ . \ \

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$\"\"$ \ \

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The ellipse equation is $\"\"$ .

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Graph of the ellipse is \ \ \

$\"\"$ .

\