What is the equation of a hyperbola with a = 3 and c = 7? Assume that the transverse axis is horizontal.

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Answer 1 · 2017-03-24T21:11:54

The standard equation of hyperbola with a horizontal transverse axis is:

#(x-h)^2/a^2-(y-k)^2/b^2=1# and #c = sqrt(a^2+b^2)#

Use the equation #c = sqrt(a^2+b^2)# to find the value of b:

#7 = sqrt(3^2+b^2)#

#49=9+b^2#

#b^2=40#

#b = sqrt(40)#

Assume that the center of hyperbola is #(0,0)#

#(x-0)^2/3^2-(y-0)^2/(sqrt(40))^2=1#