SOLUTION: Please help me solve this equation Hyperbola with foci (0,-8) and(0,8) vertices(0,6)and (0,6)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help me solve this equation Hyperbola with foci (0,-8) and(0,8) vertices(0,6)and (0,6)      Log On


   

Question 451542: Please help me solve this equation Hyperbola with foci (0,-8) and(0,8) vertices(0,6)and (0,6)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, Assuming the vertices are (0,-6)and (0,6)

Note: Standard Form of an Equation of an Hyperbola opening up and down is:

  %28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1 

where Pt(h,k) is a center  with vertices 'b' units up and down from center.

Hyperbola with foci (0,-8) and(0,8) vertices(0,-6)and (0,6)

%28y%29%5E2%2F36+-%28x%29%5E2%2Fa%5E2+=1  C(0,0) with vertices V(0,-6) and V(0,6)

foci (0,-8) and(0,8)  c = sqrt(36 + a^2)= 8   a^2 = 28

%28y%29%5E2%2F36+-%28x%29%5E2%2F28+=1