SOLUTION: Identify the center, vertices, foci, transverse, asymptotes, domain, and range for the following hyperbola: ((y-2)^2 / 9) - ((x^2) / 36) = 1

Algebra.Com
Question 879417: Identify the center, vertices, foci, transverse, asymptotes, domain, and range for the following hyperbola:
((y-2)^2 / 9) - ((x^2) / 36) = 1

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
opening Up and down along x = 0
C(0,2)
V(0,5) and V(0,-1) | 2+3, 2-3
c= sqrt(9+36) = sqrt(45)
Foci: f(0, 3+√45) and f(0, 3-√45)
Need to Know...............................................................
Standard Form of an Equation of a Circle is
Standard Form of an Equation of an Ellipse is
Standard Form of an Equation of an Hyperbola opening up and down is:
Standard Form of an Equation of an Hyperbola opening right and left is:
the vertex form of a Parabola opening up(a>0) or down(a<0),
the vertex form of a Parabola opening right(a>0) or left(a<0),

RELATED QUESTIONS

Graph the equation. Identify the vertices, foci, and asymptotes of the hyperbola.... (answered by lwsshak3)
For the following hyperbola: (x + 1)2 – (y – 3)2 = 1 (answered by lwsshak3)
Use the following hyperbola to answer all questions. Find the center, foci, vertices,... (answered by Edwin McCravy)
Sketch the hyperbolas. Identify the center, asymptotes, vertices, and foci. y^2/16 -... (answered by lwsshak3,ewatrrr)
Sketch the hyperbolas. Identify the center, asymptotes, vertices, and foci. (x-3)^2/9 -... (answered by lwsshak3)
Identify the center, vertices, and foci of this hyperbola: ((x-1)^2 / 4) - ((y-3)^2 / (answered by ewatrrr)
find the center,transverse axis, vertices, foci and asymptotes of the hyperbola;... (answered by MathLover1)
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.... (answered by lwsshak3)
find the center, vertices, foci, and slopes of the asymptotes for each hyperbola whose... (answered by ewatrrr)