SOLUTION: write an equation for the hyperbola that satisfies the given set of conditions. vertices (23,0) and (-23,0), conjugate axis of 4 units.

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Question 650457: write an equation for the hyperbola that satisfies the given set of conditions.
vertices (23,0) and (-23,0), conjugate axis of 4 units.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
write an equation for the hyperbola that satisfies the given set of conditions.
vertices (23,0) and (-23,0), conjugate axis of 4 units.
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Standard form of equation for a hyperbola with horizontal transverse axis:
%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, (h,k)=(x,y) coodinates of center
For given problem:
center:(0,0)
length of horizontal transverse axis=46 (-23 to 23)=2a
a=23
a^2=529
..
length of conjugate axis=4=2b
b=2
b^2=4
..
Equation of given hyperbola:
x%5E2%2F529-y%5E2%2F4=1