Question 867669: Find the equation of a hyperbola with a vertex at (-2,15) , a focus at (-2,22) and a center at (-2,7)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the equation of a hyperbola with a vertex at (-2,15) , a focus at (-2,22) and a center at (-2,7)
Given data shows hyperbola has a vertical transverse axis.
Its standard form of equation:  , (h,k)=coordinates of center
center:(-2,7)
a=8 (distance from center to vertices on the vertical transverse axis)
a^2=64
c=15 (distance from center to foci on the vertical transverse axis)
c^2=225
c^2=a^2+b^2
b^2=c^2-a^2=225-64=161
equation of given hyperbola: 
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