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

question 315

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)

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