Find an Equation for the Hyperbola Described $\left( \frac { 1 } { 2 } , - 3 \right)$

question 24

Multiple Choice

Find an equation for the hyperbola described.
-Vertices $\left( \frac { 1 } { 2 } , - 3 \right)$ and $\left( - \frac { 9 } { 2 } , - 3 \right) ;$ asymptotes $y + 3 = \pm \frac { 6 } { 5 } ( x + 2 )$

• A) \(\frac { ( x + 2 ) ^ { 2 } } { 9 } - \frac { 4 ( y + 3 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { 4 ( x + 2 ) ^ { 2 } } { 25 } - \frac { ( y + 3 ) ^ { 2 } } { 9 } = 1\)
• C) \(\frac { ( y + 3 ) ^ { 2 } } { 9 } - \frac { 4 ( x + 2 ) ^ { 2 } } { 25 } = 1\)
• D) \(\frac { 4 ( x - 2 ) ^ { 2 } } { 25 } - \frac { ( y - 3 ) ^ { 2 } } { 9 } = 1\)