Step 1 :

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

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

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The point on the ellipse is $\"\"$ .

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The $\"\"$ - coordinate of vertex and center are same, so the ellipse is horizontal.

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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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Step 2:

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The length of major axis is the distance between center and vertex.

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$\"\"$

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The ellipse contains the point $\"\"$ .

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Let the point is $\"\"$ .

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

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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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Step 3 :

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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 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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Solution :

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