SOLUTION: Find the equation for the hyperbola centered at the origin and satisfies these conditions. The foci are the points (+-8,0) and the length of the transverse axis is 2.

Algebra ->  Rational-functions -> SOLUTION: Find the equation for the hyperbola centered at the origin and satisfies these conditions. The foci are the points (+-8,0) and the length of the transverse axis is 2.       Log On


   

Question 738568: Find the equation for the hyperbola centered at the origin and satisfies these conditions.
The foci are the points (+-8,0) and the length of the transverse axis is 2.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation for the hyperbola centered at the origin and satisfies these conditions.
The foci are the points (+-8,0) and the length of the transverse axis is 2.
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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) coordinates of center.
For given hyperbola:
given center:(0,0)
given length of horizontal transverse axis=2=2a
a=1
a^2=1
c=8 (distance from center to foci)
c^2=64
c^2=a^2+b^2
b^2=c^2-a^2=64-1=63
equation for the hyperbola:
x%5E2%2F1-y%5E2%2F63=1