Solve the Problem $\frac { x ^ { 2 } } { 100 } - \frac { y ^ { 2 } } { 64 } = 1$

Multiple Choice

Solve the problem.
-The hyperbola $\frac { x ^ { 2 } } { 100 } - \frac { y ^ { 2 } } { 64 } = 1$ is shifted horizontally and vertically to obtain the hyperbola $\frac { ( x + 5 ) ^ { 2 } } { 100 } - \frac { ( y + 2 ) ^ { 2 } } { 64 } = 1$ Find the center and vertices of the new hyperbola.

A) Center: (-2, -5) ; Vertices: (-2, -15) , (-2, 5)
B) Center: (-2, -5) ; Vertices: (-15, -2) , (5, -2)
C) Center: (-5, -2) ; Vertices: (-15, -2) , (5, -2)
D) Center: (-5, -2) ; Vertices: (-2, -15) , (-2, 5)