SOLUTION: For the hyperbola represented by [(y+2)^2]/4 - [x^2]/12=1 find the foci and vertices

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Question 864674: For the hyperbola represented by [(y+2)^2]/4 - [x^2]/12=1 find the foci and vertices
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
For the hyperbola represented by [(y+2)^2]/4 - [x^2]/12=1 find the foci and vertices
%28y%2B2%29%5E2%2F4+-+x%5E2%2F12=1
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)=coordinates of center
for given hyperbola:
center: (0,-2)
a^2=4
a=2
vertices: (0,-2±a)=(0,-2±2)=(0,-4) and (0,0)
b^2=12
c^2=a^2+b^2=4+12=16
c=√16=4
foci: (0,-2±c)=(0,-2±4)=(0,-6) and (0,2)