SOLUTION: need help with this question. Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0,+-5) foci: (0,+-7)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: need help with this question. Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0,+-5) foci: (0,+-7)       Log On


   

Question 444844: need help with this question.
Find the standard form of the equation of the hyperbola with the given characteristics.
vertices: (0,+-5) foci: (0,+-7)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

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.

vertices: vertices: (0,+-5) b = 5  AND Center is (0,-0) 

  %28y%29%5E2%2F25+-+%28x%29%5E2%2Fa%5E2+=+1

foci: (0,+-7) sqrt%28+25+%2B+a%5E2%29+=+7+ a^2 = 24   (25+24 =49)

   %28y%29%5E2%2F25+-+%28x%29%5E2%2F24+=+1