SOLUTION: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph. 3y^2-75x^2=225

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. 3y^2-75x^2=225      Log On


   



Question 438708: Graph the hyperbola. Label the x or y intercepts for the "branches". Also, show the asymptotes and the foci. Please show the graph.
3y^2-75x^2=225

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
· Hi,
· 3y^2-75x^2=225
· %28y%29%5E2%2F75+-++%28x%29%5E2%2F3+=+1 C(0,0) Vertices: (0,-5sqrt%283%29) and (0,5sqrt%283%29) )
· Domain: and Range: {y ≤-5sqrt%283%29) , y ≥ ,5sqrt%283%29) }
foci c= sqrt%2878%29: foci are (0,-sqrt%2878%29)and (0, sqrt%2878%29)
Asymptotes: are y = ±5x