Find the center, vertices, and foci of .
Hint
The major axis is vertical, and f = 4.
Answer
Center: (0, -2)
Vertices: (0, 3), (0, -7), (-3, -3), (3, -2)
Foci: (0, -6), (0, 2)
Find the center, vertices, and foci of 9(x – 3)2 + 4(y + 5)2 = 36.
Divide everything by 36 before starting.
Center: (3, -5)
Vertices: (1, -5), (5, -5), (3, -8), (3, -2)
Foci: (-3, -7.24), (-3, -2.76)
The major axis is vertical, and f = 2.65.
Center: (0, 0)
Vertices: (-1.73, 0), (1.73, 0), (0, -3.16), (0, 3.16)
Foci: (0, -2.65), (0, 2.65)
Find the equation of the ellipse with vertices at (4, -5), (4, 5), (1, 0), (7, 0).
The center is at (4, 0).
Find the equation of the ellipse with a vertex at (3, 0), a focus at (0, 0), and the center at (2, 0).
a = 3 and f = 2.
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