SOLUTION: Find an equation for the Hyperbola described. Focus at (-4,0), Vertices at (-4,4) and (-4,2)

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Question 821012: Find an equation for the Hyperbola described.
Focus at (-4,0), Vertices at (-4,4) and (-4,2)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation for the Hyperbola described.
Focus at (-4,0), Vertices at (-4,4) and (-4,2)
***
Given hyperbola has a vertical transverse axis.
Its standard form of equation: %28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1, (h,k)=(x,y) coordinates of center.
..
For given hyperbola:
center:(-4,3)
length of vertical transverse axis=2=2a
a=1
a^2=1
c=3
c^2=9
c^2=a^2+b^2
b^2=c^2-a^2=9-1=8
equation:
%28y-3%29%5E2-%28x%2B4%29%5E2%2F8=1