SOLUTION: Find the center, vertices, and foci of the hyperbola. Graph the hyperbola. (Y+2)^2/9-(x-1)^2/16=1

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the center, vertices, and foci of the hyperbola. Graph the hyperbola. (Y+2)^2/9-(x-1)^2/16=1      Log On


   

Question 869869: Find the center, vertices, and foci of the hyperbola. Graph the hyperbola.
(Y+2)^2/9-(x-1)^2/16=1
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

%28y%2B2%29%5E2%2F3%5E2-%28x-1%29%5E2%2F4%5E2=1

center:  (1,-2)

vertices(b=3):  (1,1) and (1,-5)

foci: |sqrt(9+16)| = 5,  F(1,3) and (1, -7)

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 with C(h,k) and vertices 'b' units up and down from center,

Foci sqrt%28a%5E2%2Bb%5E2%29units units up and down from center, along x = h