Find the Center, Foci, and Vertices of the Hyperbola $\frac { ( x - 1 ) ^ { 2 } } { 16 } - \frac { ( y + 2 ) ^ { 2 } } { 1 } = 1$

question 72

Multiple Choice

Find the center, foci, and vertices of the hyperbola. $\frac { ( x - 1 ) ^ { 2 } } { 16 } - \frac { ( y + 2 ) ^ { 2 } } { 1 } = 1$

• A) center: \(( 1 , - 2 )\); vertices: \(( - 3 , - 2 ) , ( 5 , - 2 )\); foci: \(( 1 - \sqrt { 17 } , - 2 ) , ( 1 + \sqrt { 17 } , - 2 )\).
• B) center: \(( 1 , - 2 )\); vertices: \(( - 3 , - 2 ) , ( 5 , - 2 )\); foci: \(( 1 , - 2 - \sqrt { 17 } ) , ( 1 , - 2 + \sqrt { 17 } )\).
• C) center: \(( 1 , - 2 )\); vertices: \(( - 3 , - 2 ) , ( - 5 , - 2 )\); foci: \(( 1 , - 2 - \sqrt { 17 } ) , ( 1 , - 2 + \sqrt { 17 } )\).
• D) center: \(( 1 , - 2 )\); vertices: \(( 1 , - 3 ) , ( 1 , - 1 )\); foci \(( 1 , - 2 - \sqrt { 17 } ) , ( 1 , - 2 + \sqrt { 17 } )\).
• E) center: \(( 1 , - 2 )\); vertices: \(( 1 , - 3 ) , ( 1 , - 1 )\); foci: \(( 1 - \sqrt { 17 } , - 2 ) , ( 1 + \sqrt { 17 } , - 2 )\).

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