Graph the Hyperbola $$\frac { ( x + 5 ) ^ { 2 } } { 64 } - \frac { ( y + 1 ) ^ { 2 } } { 36 } = 1$$

question 48

Multiple Choice

Graph the hyperbola. Identify the foci and write the equations for the asymptotes.
- $$\frac { ( x + 5 ) ^ { 2 } } { 64 } - \frac { ( y + 1 ) ^ { 2 } } { 36 } = 1$$

• A) foci: \(( - 13 , - 1 ) , ( 3 , - 1 )\); asymptotes: \[y = - \frac { 3 } { 4 } x + \frac { 11 } { 4 } , y = \frac { 3 } { 4 } x - \frac { 19 } { 4 }\]
• B) foci: \(( - 5 , - 11 ) , ( - 5,9 )\); asymptotes: \[y = - \frac { 3 } { 4 } x - \frac { 19 } { 4 } , y = \frac { 3 } { 4 } x + \frac { 11 } { 4 }\]
• C) foci: \(( - 15 , - 1 ) , ( 5 , - 1 )\); asymptotes: \(y = - \frac { 3 } { 4 } x - \frac { 19 } { 4 } , y = \frac { 3 } { 4 } x + \frac { 11 } { 4 }\)
• D) foci: \(( - 5 , - 9 ) , ( - 5,7 )\); asymptotes: \(y = - \frac { 3 } { 4 } x + \frac { 11 } { 4 } , y = \frac { 3 } { 4 } x - \frac { 19 } { 4 }\)

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