For a Hyperbolic Mirror the Two Foci Are 44 Cm $\frac { y ^ { 2 } } { 256 } - \frac { x ^ { 2 } } { 228 } = 1$

Multiple Choice

For a hyperbolic mirror the two foci are 44 cm apart. The distance of the vertex from one focus is 6 cm and from the other focus is 38 cm. Position a coordinate system with the origin at the center of the hyperbola and with the
Foci on the y-axis. Find the equation of the hyperbola.

A) $\frac { y ^ { 2 } } { 256 } - \frac { x ^ { 2 } } { 228 } = 1$
B) $\frac { y ^ { 2 } } { 256 } - \frac { x ^ { 2 } } { 228 } = 5$
C) $\frac { x ^ { 2 } } { 256 } - \frac { y ^ { 2 } } { 228 } = 1$
D) $\frac { x ^ { 2 } } { 256 } - \frac { y ^ { 2 } } { 228 } = 5$