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

question 79

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.
- $$( x + 4 ) ^ { 2 } - 4 ( y - 4 ) ^ { 2 } = 4$$

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

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