Graph Hyperbolas Not Centered at the Origin
Find the Location $$\frac { ( x - 1 ) ^ { 2 } } { 49 } - \frac { ( y + 4 ) ^ { 2 } } { 36 } = 1$$

question 6

Multiple Choice

Graph Hyperbolas Not Centered at the Origin
Find the location of the center, vertices, and foci for the hyperbola described by the equation.
- $$\frac { ( x - 1 ) ^ { 2 } } { 49 } - \frac { ( y + 4 ) ^ { 2 } } { 36 } = 1$$

• A) Center: \(( 1 , - 4 )\); Vertices: \(( - 6 , - 4 )\) and \(( 8 , - 4 )\); Foci: \(( 1 - \sqrt { 85 } , - 4 )\) and \(( 1 + \sqrt { 85 } , - 4 )\)
• B) Center: \(( - 1,4 )\); Vertices: \(( - 8,4 )\) and \(( 6,4 )\); Foci: \(( - 1 - \sqrt { 85 } , 4 )\) and \(( - 1 + \sqrt { 85 } , 4 )\)
• C) Center: \(( 1 , - 4 )\); Vertices: \(( - 6,4 )\) and \(( 8,4 )\); Foci: \(( 1 - \sqrt { 85 } , 4 )\) and \(( 1 + \sqrt { 85 } , 4 )\)
• D) Center: \(( 1 , - 4 )\); Vertices: \(( - 5 , - 4 )\) and \(( 9 , - 4 )\); Foci: \(( 2 + \sqrt { 85 } , - 3 )\) and \(( - 3 + \sqrt { 85 } , - 3 )\)

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