Hi,

Re TY, Yes!  Good Work!

y^(2)-4x^(2)-6y-32x-59=00   ⇒ (y-3)^2 - 4(x+4)^2 = 4

 C(-4,3)

 V(-4, 5) and V(-4,1)

  Foci (-4, 3 ±) 

Asymptotes: 

     y-3 = 2(x +4)   y = 2x +11  

and  y-3 = -2(x+4)   y = -2x -5

Standard Form of an Equation of an Hyperbola opening up and down is:

   with C(h,k) and vertices 'b' units up and down from center,  2b the length of the transverse axis

Foci units units up and down from center, along x = h

& Asymptotes Lines passing thru C(h,k), with slopes m =  ± b/a

 

RELATED QUESTIONS

Find the vertices, and the foci of the hyperbola.... (answered by ewatrrr)

find the center, the vertices, foci, and the asymptotes of the hyperbola. then draw the... (answered by lwsshak3)

Y^2-6y-4x^2-8x=95

Find the coordinates of the vertices and foci and the equations of... (answered by lwsshak3)

Find the vertices, foci, and equations of the asymptotes of the hyperbola.... (answered by lwsshak3)

Can you help me?

Find the vertices, the foci, and the equation of the asymptotes, and... (answered by venugopalramana)

``Find the vertices,asymptotes, and the foci of the hyperbola.... (answered by ewatrrr)

Find the center, the vertices, the foci, and the asymptotes of the hyperbola. Then draw... (answered by lynnlo)

Find the vertices, asymptotes, and foci of the hyperbola.... (answered by lwsshak3)

Find the center, vertices, foci, and asymptotes of the hyperbola 4x^2-y^2-8x-2y-1=0.... (answered by asinus)