SOLUTION: Obtain an equation of the conic described, then graph by hand: Here is the problem: Hyperbola, vertices at (-2,0) and (2,0), focus at (4,0) THANK YOU.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Obtain an equation of the conic described, then graph by hand: Here is the problem: Hyperbola, vertices at (-2,0) and (2,0), focus at (4,0) THANK YOU.      Log On


   

Question 441857: Obtain an equation of the conic described, then graph by hand:
Here is the problem: Hyperbola, vertices at (-2,0) and (2,0), focus at (4,0)
THANK YOU.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, Note: 

Standard Form of an Equation of an Hyperbola opening right and left is  

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

where Pt(h,k) is a center  with vertices 'a' units right and left of center.

 vertices at (-2,0) and (2,0), focus at (4,0)  Center( 0,0)

         x%5E2%2F2%5E2+-+y%5E2%2Fb%5E2+=+1  f = 4 = sqrt%282%5E2+%2B+b%5E2%29  b^2 = 12

               x%5E2%2F4+-+y%5E2%2F12+=+1  













ewatrrr@aol.com

private/pay tutoring Inquiries only, please.