Find the Center, Foci, and Vertices of the Ellipse $$4 x ^ { 2 } + 64 y ^ { 2 } = 256$$

question 78

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- $$4 x ^ { 2 } + 64 y ^ { 2 } = 256$$

• A)center at \( (0,0) \)
• foci at \( (0,-2) \) and \( (0,2) \)
• vertices at \( (0,-4),(0,4) \)
• B)center at \( (0,0) \)
• foci at \( (0,-2 \sqrt{15}) \) and \( (0,2 \sqrt{15}) \)
• vertices at \( (0,-8),(0,8) \)
• C) center at \( (0,0) \)
• foci at \( (-2 \sqrt{15}, 0) \) and \( (2 \sqrt{15}, 0) \)
• vertices at \( (-8,0),(8,0) \)
• D)center at \( (0,0) \)
• foci at \( (-8,0) \) and \( (8,0) \)
• vertices at \( (-64,0),(64,0) \)

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