Find the Center, Foci, and Vertices of the Ellipse $$\frac { ( x - 1 ) ^ { 2 } } { 36 } + \frac { ( y + 2 ) ^ { 2 } } { 9 } = 1$$

question 119

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- $$\frac { ( x - 1 ) ^ { 2 } } { 36 } + \frac { ( y + 2 ) ^ { 2 } } { 9 } = 1$$

• A) center at \( (1,-2) \)
• foci at \( (1+3 \sqrt{3}, 1),(1-3 \sqrt{3}, 1) \)
• vertices at \( (6,-2),(-6,-2) \)
• B)\(\begin{array}{l}
• \text { center at }(-2,1) \\
• \text { foci at }(-2+3 \sqrt{3}, 1),(-2-3 \sqrt{3}, 1) \\
• \text { vertices at }(-5,-2),(7,-2)
• \end{array}\)
• C)center at \( (1,-2) \)
• foci at \( (-3 \sqrt{3},-2),(3 \sqrt{3},-2) \)
• vertices at \( (6,-2),(-6,-2) \)
• D) center at \( (1,-2) \)
• foci at \( (1+3 \sqrt{3},-2),(1-3 \sqrt{3},-2) \)
• vertices at \( (-5,-2),(7,-2) \)

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