Find an Equation for the Hyperbola Described $( 0,0 ) ;$

Multiple Choice

Find an equation for the hyperbola described. Graph the equation.
-Center at $( 0,0 ) ;$ vertex at $( 0,3 ) ;$ focus at $( 0 , \sqrt { 13 } )$

A) $\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 25 } = 1$


B) $\frac { y ^ { 2 } } { 25 } - \frac { x ^ { 2 } } { 9 } = 1$


C) $\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 25 } = 1$


D) $\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 9 } = 1$