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

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 $(-5,-2) ,(7,-2)$