$\"\"$

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The standard form of an ellipse centered at the origin with major and minor axes of lengths $\"\"$ and $\"\"$ (where $\"\"$ ) is $\"\"$ .

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Where,

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

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Write the equation in standard form.

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The ellipse is $\"\"$ .

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Since the denominator of $\"\"$ - term is larger than the denominator of $\"\"$ - term, the major axis is vertical.

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Compare it with $\"\"$ .

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Center of the ellipse : $\"\"$ .

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$\"\"$ .

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Vertices of the ellipse : $\"\"$ .

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Focus of the ellipse : $\"\"$ . $\"\"$

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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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$\"\"$

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Center of the ellipse : $\"\"$ .

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Vertex of the ellipse : $\"\"$ and $\"\"$ .

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Graph of the ellipse $\"\"$ is :

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$\"\"$