Question 741932: Find an equation for the hyperbola describes.
Center at (2,1); focus at (-5,1); vertex at (1,1)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find an equation for the hyperbola describes.
Center at (2,1); focus at (-5,1); vertex at (1,1)
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Hyperbola as described has a horizontal transverse axis. (x-coordinates change but y-coordinates do not.)
Its standard form of equation:  , (h,k)=(x,y) coordinates of center.
For given hyperbola:
center: (2,1) (given)
a=1(distance from center to vertex on the horizontal transverse axis)(2 to 1)
a^2=1
c=7(distance from center to focus on the horizontal transverse axis)(2 to -5)
c^2=49
c^2=a^2+b^2
b^2=c^2-a^2=49-1=48
Equation of given hyperbola:
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