Vertical Ellipse | Center (0, 0) | Center (h, k) |
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Standard-Form Equation |
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Vertices |
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Co-vertices |
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Foci |
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a, b, c relationship,
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What is the standard-form equation of an ellipse with vertices (1, 6) and (1, 16), and one focus at (1, 14)? Sketch the ellipse.
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Graph the points to find the orientation. The ellipse is vertical with center at (1, 11), halfway between the two vertices. | |
The vertices are 5 units from the center. The focus is 3 units from the center. Substitute values into
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a = 5, so
c = 3, so |
Write an equation for the vertical ellipse using
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Sketch the ellipse. Draw a smooth curve through the vertices and co-vertices. |
Image Long Description |