Identify the Vertices and Asymptotes of the Hyperbola $\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 81 } = 1$

question 84

Multiple Choice

Identify the vertices and asymptotes of the hyperbola. $\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 81 } = 1$

• A)vertices: \(( - 5,0 ) , ( 5,0 )\) asymptotes: \(y = - \frac { 5 } { 9 } x , y = \frac { 5 } { 9 } x\)
• B)vertices: \(( - 5,0 ) , ( 5,0 )\) asymptotes: \(y = - \frac { 9 } { 5 } x , y = \frac { 9 } { 5 } x\)
• C)vertices: \(( 0 , - 9 ) , ( 0,9 )\) asymptotes: \(y = - \frac { 5 } { 9 } x , y = \frac { 5 } { 9 } x\)
• D)vertices: \(( - 9,0 ) , ( 9,0 )\) asymptotes: \(y = - \frac { 9 } { 5 } x , y = \frac { 9 } { 5 } x\)
• E)vertices: \(( - 9,0 ) , ( 9,0 )\) asymptotes: \(y = - \frac { 5 } { 9 } x , y = \frac { 5 } { 9 } x\)

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