standard equation of hyperbola
Answers
▪️The standard form of an equation of a hyperbola centered at the origin with vertices (±a,0) ( ± a , 0 ) and co-vertices (0±b) ( 0 ± b ) is x2a2−y2b2=1 x 2 a 2 − y 2 b 2 = 1 .
Step-by-step explanation:
The standard form of an equation of a hyperbola centered at the origin with vertices (±a,0) ( ± a , 0 ) and co-vertices (0±b) ( 0 ± b ) is x2a2−y2b2=1 x 2 a 2 − y 2 b 2 = 1 .. A hyperbola is the set of all points
(
x
,
y
)
in a plane such that the difference of the distances between
(
x
,
y
)
and the foci is a positive constant.The transverse axis is a line segment that passes through the center of the hyperbola and has vertices as its endpoints. The foci lie on the line that contains the transverse axis. The conjugate axis is perpendicular to the transverse axis and has the co-vertices as its endpoints.