Question 716101: find an equation of the hyperbola with vertices at (-6, 1) and (4, 1) and foci at (-8, 1) and (6, 1)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! find an equation of the hyperbola with vertices at (-6, 1) and (4, 1) and foci at (-8, 1) and (6, 1)
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Standard form of a hyperbola with horizontal transverse axis:
 , (h,k)=(x,y) coordinates of vertex.
y-coordinate of center=1
x-coordinate of center=(-6+4)/2=-1 (midpoint formula)
center: (-1, 1)
a=5 (distance from center to vertex, (-1 to - 6) on the horizontal transverse axis)
a^2=25
c=7 (distance from center to focus, (-1 to - 8) on the horizontal transverse axis)
c^2=49
c^2=a^2+b^2
b^2=c^2-a^2=49-25=24
Equation of given hyperbola:
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