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.

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) (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.
***
Standard form of equation for a hyperbola with horizontal transverse axis:
, (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:

RELATED QUESTIONS
Find an equation for the hyperbola and Satisfies the given conditions. Foci(+-5,0),... (answered by josgarithmetic)

Find an equation for the hyperbola that satisfies the given conditions. State the... (answered by lwsshak3)

write an equation for the hyperbola that satisfies the given set of conditions. vertices (answered by lwsshak3)

Find an equation for a hyperbola centered at the origin with a horizontal transverse axis (answered by ewatrrr)

Find an equation for the ellipse that satisfies the given conditions. Foci (0, �3),... (answered by lwsshak3)

Write an equation for the hyperbola that satisfies each set of conditions. vertices... (answered by AnlytcPhil)

Find an equation for the hyperbola that satisfies the given conditions: Vertices: (0,... (answered by lwsshak3)

Find an equation for the conic that satisfies the given conditions. Ellipse foci (0,... (answered by lwsshak3)

Find an equation of the hyperbola that satisfies the given conditions. Foci (0,�3... (answered by robertb)