SOLUTION: what are the intercepts, the foci and the asymptotes for the hyperbola? y^2/9-x^2/4=1.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: what are the intercepts, the foci and the asymptotes for the hyperbola? y^2/9-x^2/4=1.      Log On


   

Question 410619: what are the intercepts, the foci and the asymptotes for the hyperbola? y^2/9-x^2/4=1.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi 

%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.

y%5E2%2F9-x%5E2%2F4=1

intercepts: (0,3) and (0,-3)

the foci: sqrt(4+9) = sqrt(13)= 3.6056

the asymptotes: y = ± b/a    | y = 3/2x and y = -3/2x