SOLUTION: Find the center and foci of the hyperbola. (y+6)2 - (x-8)2 ------ -----=1 9 16 need help with the answer.

Question 437945: Find the center and foci of the hyperbola.
(y+6)2 - (x-8)2
------ -----=1
9 16
need help with the answer.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the center and foci of the hyperbola.
(y+6)2 - (x-8)2
------ -----=1
9 16
=============================
h = 8; k = -6; a = 4 ; b = 3
Note: The hyperbola opens up and down
---
c = sqrt(a^2+b^2) = sqrt(16+9) = 5
Center: (8,-6)
---
Foci: (8,-6-5) and (8,-6+5)
that is: (8,-11) and (8,-1)
================================
Cheers,
Stan H.
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