An Elliptical Stained-Glass Insert Is to Be Fitted in a 4ft

Multiple Choice

An elliptical stained-glass insert is to be fitted in a 4ft by 6ft rectangular opening (see figure) . Using the coordinate system shown, find an equation for the ellipse.

A) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1$
B) $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 9 } = 1$
C) $\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 9 } = 1$
D) $\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 4 } = 1$
E) $\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 6 } = 1$