An equation of an ellipse is given. ²+12²=1 (a) Find the vertices, foci, and eccentricity of the ellipse. (x, y) = ( vertex vertex focus focus eccentricity (x, y) = (x, y) = (x, y) = (b) Determine the length of the major axis. Determine the length of the minor axis. (c) Sketch a graph of the ellipse. (smaller x-value) (larger x-value) (smaller x-value) (larger x-value)

Q: 9) Find an equation of the ellipse: vertices: (1,±3) foci: (1,±2)

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Q: • In each case, find the ellipse's standard-form equation from the given information. 1. Foci:…

A: 1. Foci: ±2,0 which lie on the x-axis.The vertices are: ±2,0Therefore, a=2 and c=2We know…

Q: An ellipse has foci at (1, 5) and (1, −1), and it goes through the points (−1, 2) and (3, 2). Sketch…

A: Given data is: An ellipse has foci at (1, 5) and (1, −1), and it goes through the points (−1, 2) and…

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (0, +5), Vvertices: (0,…

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Q: Lyra is designing a model of a solar system with a planet and a comet. The planet has a circular…

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Q: Sketch the ellipse, and label the foci, vertices, and ends of the minor axis. © (b) (x+3)² +4(y-5)²…

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