SOLUTION: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph. x^2/4-y^2/25=1

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph. x^2/4-y^2/25=1      Log On


   

Question 438712: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph.
x^2/4-y^2/25=1
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 opeing 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.

x^2/4-y^2/25=1  C(0,0) with vertices V(-2,0) and V(2,0) - the x-intercepts

Foci(c=sqrt%2829%29: F(-5.3851,0) and F(5.3851,0)

Asymptotes: y = ± (5/2)x