Graph the Hyperbola $y ^ { 2 } - 4 x ^ { 2 } = 4$

Multiple Choice

Graph the hyperbola. Specify the following: vertices, foci, lengths of transverse and conjugate axes, eccentricity, and equations of the asymptotes. $y ^ { 2 } - 4 x ^ { 2 } = 4$

A) vertices: $( 0 , \pm 2 )$ ;
Foci: $( 0 , \pm \sqrt { 5 } )$ ;
Length of transverse axis: 4;
Length of conjugate axis: 2;
Eccentricity: $\frac { \sqrt { 5 } } { 2 }$
Asymptotes: $y = \pm 2 x$ .
B) vertices: $( 0 , \pm 1 )$ ;
Foci: $( 0 , \pm \sqrt { 5 } )$ ;
Length of transverse axis: 2;
Length of conjugate axis: 4;
Eccentricity: $\sqrt { 5 }$ ;
Asymptotes: $y = \pm \frac { 1 } { 2 } x$ .
C) vertices: $( \pm 2,0 )$ ;
Foci: $( \pm \sqrt { 5 } , 0 )$ ;
Length of transverse axis: 4;
Length of conjugate axis: 2;
Eccentricity: $\frac { \sqrt { 5 } } { 2 }$
Asymptotes: $y = \pm \frac { 1 } { 2 } x$ .
D) vertices: $( \pm 1,0 )$ ;
Foci: $( \pm \sqrt { 37 } , 0 )$ ;
Length of transverse axis: 2;
Length of conjugate axis: 12;
Eccentricity: $\sqrt { 37 }$ ;
Asymptotes: $y = \pm 37 x$ .
E) vertices: $( \pm 1,0 )$ ;
Foci: $( \pm \sqrt { 5 } , 0 )$ ;
Length of transverse axis: 2;
Length of conjugate axis: 4;
Eccentricity: $$\sqrt { 5 }$$ Asymptotes: $y = \pm 2 x$ .