Find the Center, Foci, and Vertices of the Ellipse $$16 ( x + 2 ) ^ { 2 } + 9 ( y - 1 ) ^ { 2 } = 144$$

question 106

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- $$16 ( x + 2 ) ^ { 2 } + 9 ( y - 1 ) ^ { 2 } = 144$$

• A) center at \( (-1,1) \)
• foci at \( (-1,1-\sqrt{7}),(-1,1+\sqrt{7}) \)
• vertices at \( (-1,5),(-1,-3) \)
• B)center at \( (1,-2) \)
• foci at \( (1,-2-\sqrt{7}),(1,-2+\sqrt{7}) \)
• vertices at \( (1,5),(1,-3) \)
• C) center at \( (2,1) \)
• foci at \( (2,1-\sqrt{7}),(2,1+\sqrt{7}) \)
• vertices at \( (2,5),(2,-3) \)
• D) center at \( (-2,1) \)
• foci at \( (-2,1-\sqrt{7}),(-2,1+\sqrt{7}) \)
• vertices at \( (-2,5),(-2,-3) \)