Question 879417
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Hi
{{{(y-2)^2 /3^2 - x^2/ 36 = 1}}} 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+&#8730;45) and f(0, 3-&#8730;45)

Need to Know...............................................................
Standard Form of an Equation of a Circle is {{{(x-h)^2 + (y-k)^2 = r^2}}} 
Standard Form of an Equation of an Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}} 
Standard Form of an Equation of an Hyperbola opening up and down is:{{{(y-k)^2/b^2 - (x-h)^2/a^2 = 1}}} 
Standard Form of an Equation of an Hyperbola opening right and  left is:{{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}} 
the vertex form of a Parabola opening up(a>0) or down(a<0), {{{y=a(x-h)^2 +k}}}
 the vertex form of a Parabola opening right(a>0) or left(a<0), {{{x=a(y-k)^2 +h}}}