Find the Center, Transverse Axis, Vertices, and Foci of the Hyperbola

Multiple Choice

Find the center, transverse axis, vertices, and foci of the hyperbola.
- $$16 x ^ { 2 } - 100 y ^ { 2 } = 1600$$

A) center at $( 0,0 )$
transverse axis is $x$ -axis
vertices: $( 0 , - 10 ) , ( 0,10 )$
foci: $( 0 , - 2 \sqrt { 29 } ) , ( 0,2 \sqrt { 29 } )$
B) center at $( 0,0 )$
transverse axis is $x$ -axis
vertices: $( - 10,0 ) , ( 10,0 )$
foci: $( - 2 \sqrt { 21 } , 0 ) , ( 2 \sqrt { 21 } , 0 )$
C) center at $( 0,0 )$
transverse axis is $x$ -axis
vertices: $( - 4,0 ) , ( 4,0 )$
foci: $( - 2 \sqrt { 29 } , 0 ) , ( 2 \sqrt { 29 } , 0 )$
D) center at $( 0,0 )$
transverse axis is $\mathrm { x }$ -axis
vertices: $( - 10,0 ) , ( 10,0 )$
foci: $( - 2 \sqrt { 29 } , 0 ) , ( 2 \sqrt { 29 } , 0 )$