Find the Standard Form of the Equation of the Hyperbola $\frac { 3 } { 2 }$

question 45

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (0,±2) ; asymptotes: y = ± $\frac { 3 } { 2 }$ x

• A) \(\frac { y ^ { 2 } } { 9 } + \frac { x ^ { 2 } } { 4 } = 1\)
• B) \(\frac { y ^ { 2 } } { 4 } - \frac { x ^ { 2 } } { 9 } = 1\)
• C) \(\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 4 } = - 1\)
• D) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 9 } = 1\)
• E) \(\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 4 } = 1\)

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