SOLUTION: Find the center, vertices, and foci of the hyperbola given by the equation (y-1)^2/9 - (x-2)^2/16 = 1 Please include steps on how to solve so I can understand.

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Question 860404: Find the center, vertices, and foci of the hyperbola given by the equation
(y-1)^2/9 - (x-2)^2/16 = 1 Please include steps on how to solve so I can understand.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
C(2,1) opening Up and down along x = 2
Vertices: V(2,-2) and V(2,4) units up and down from center
foci: F(2,-4) and F(2, 6) || = 5 units up and down from center
Standard Form of an Equation of an Hyperbola opening up and down is:
with C(h,k) and vertices 'b' units up and down from center, 2b the length of the transverse axis
Foci units units up and down from center, along x = h

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