equation of hyperbola
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The vertices and foci are on the x-axis. Thus, the equation for the hyperbola will have the form x2a2−y2b2=1 x 2 a 2 − y 2 b 2 = 1 . The vertices are (±6,0) ( ± 6 , 0 ) , so a=6 a = 6 and a2=36 a 2 = 36 .
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The standard equation for a hyperbola with a horizontal transverse axis is - = 1. The center is at (h, k). The distance between the vertices is 2a. The distance between the foci is 2c.
Step-by-step explanation:
the length of the transverse axis is 2a.
the coordinates of the vertices are (h±a,k)
the length of the conjugate axis is 2b.
the coordinates of the co-vertices are (h,k±b)
the distance between the foci is 2c , where c2=a2+b2.
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