Find an Equation of the Hyperbola Centered at the Origin $\frac { 7 } { 4 }$

question 51

Multiple Choice

Find an equation of the hyperbola centered at the origin that satisfies the given condition. Vertices: (± 4, 0) , asymptotes: y = ± $\frac { 7 } { 4 }$ x

• A) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 49 } = 1\)
• B) \(\frac { y ^ { 2 } } { 49 } - \frac { x ^ { 2 } } { 16 } = 1\)
• C) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 49 } = 1\)
• D) \(\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 16 } = 1\)

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