Find an Equation of the Hyperbola Centered at the Origin $( \pm 4,0 )$

question 19

Multiple Choice

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

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