SOLUTION: last one i need help with. 50 problems due in one day knew 45 Write the equation of a hyperbola with ventricles at (0,-4) and (0,4) and foci at (0,7) and (0,-7)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: last one i need help with. 50 problems due in one day knew 45 Write the equation of a hyperbola with ventricles at (0,-4) and (0,4) and foci at (0,7) and (0,-7)      Log On


   

Question 451433: last one i need help with. 50 problems due in one day knew 45
Write the equation of a hyperbola with ventricles at (0,-4) and (0,4) and foci at (0,7) and (0,-7)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, Assuming the vertices are (0,-4)and (0,4)

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 vertices are (0,-4)and (0,4)and foci at (0,7) and (0,-7)

%28y%29%5E2%2F16+-%28x%29%5E2%2Fa%5E2+=1  C(0,0) with vertices V(0,-4) and V(0,4)

foci (0,-7) and(0,7)  c = sqrt(16 + a^2)= 7   a^2 = 33

%28y%29%5E2%2F16+-%28x%29%5E2%2F33+=1