Find the center, foci, and asymptotes of the hyperbola.
-$$\frac { x ^ { 2 } } { 256 } - \frac { y ^ { 2 } } { 144 } = 1$$
A) C: $( 0,0 ) ; F : ( - 20,0 ) , ( 20,0 ) ; A : y = \frac { 3 } { 4 } x , y = - \frac { 3 } { 4 } x$
B) C: $( 0,0 ) ; F : ( 0 , - 12 ) , ( 0,12 ) ; A : y = \frac { 4 } { 3 } x , y = - \frac { 4 } { 3 } x$
C) C: $( 0,0 ) ; F : ( - 20,0 ) , ( 20,0 ) ; A : y = \frac { 4 } { 3 } x , y = - \frac { 4 } { 3 } x$
D) C: $( 0,0 ) ; F : ( 0 , - 12 ) , ( 0,12 ) ; A : y = \frac { 3 } { 4 } x , y = - x$

Question

Quizplus · Accepted Answer

The hyperbola is centered at (0,0) with a horizontal transverse axis. The foci are at (-20,0) and (20,0), and the asymptotes are y = (3/4)x and y = -(3/4)x.

Find the Center, Foci, and Asymptotes of the Hyperbola x2256−y2144=1\frac { x ^ { 2 } } { 256 } - \frac { y ^ { 2 } } { 144 } = 1256x2​−144y2​=1

Find the Center, Foci, and Asymptotes of the Hyperbola $\frac { x ^ { 2 } } { 256 } - \frac { y ^ { 2 } } { 144 } = 1$