SOLUTION: I am taking an online class and it did not come with a book! If someone could at least show me how to work it out, that would be much appreciated! Find the center, vertices, and

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Question 849052: I am taking an online class and it did not come with a book! If someone could at least show me how to work it out, that would be much appreciated!
Find the center, vertices, and foci of the hyperbola given by the equation (y-6)^2/4 - (x-4)^2/5 = 1.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,



C(4,6) Note: x = 4,
V(4,8) and V(4,4)
Foci: = Foci are: (4, 6+sqrt(10), (4, 6-sqrt(10))
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
& Asymptotes Lines passing thru C(h,k), with slopes m = ± b/a
Standard Form of an Equation of an Hyperbola opening right and left is:
with C(h,k) and vertices 'a' units right and left of center, 2a the length of the transverse axis
Foci are units right and left of center along y = k
& Asymptotes Lines passing thru C(h,k), with slopes m = ± b/a


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