Find the Vertices and Asymptotes of the Hyperbola $$9 y ^ { 2 } - 4 x ^ { 2 } = 36$$

question 45

Multiple Choice

Find the vertices and asymptotes of the hyperbola.
$$9 y ^ { 2 } - 4 x ^ { 2 } = 36$$

• A) vertices: \(( 0 , \pm 2 )\) asymptote: \(y = \pm \frac { 2 } { 3 } x\)
• B) vertices: \(( 0 , \pm 2 )\) asymptote: \(y = \pm \frac { 3 } { 2 } x\)
• C) vertices: \(( \pm 2,0 )\) asymptote: \(y = \pm \frac { 2 } { 3 } x\)
• D) vertices: \(( \pm 2,0 )\) asymptote: \(y = \pm \frac { 3 } { 2 } x\)
• E) vertices: \(( \pm 2,3 )\) asymptote: \(y = \pm \frac { 2 } { 3 } x\)

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