Question 879416
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Hi
{{{(x-1)^2 /2^2 - (y-3)^2 / 9 = 1 }}} opening right and left along y = 3
C(1,3)
V(3,3) and V(-1,3)  ( 1+2  and 1-2)
c= sqrt(4+9) = sqrt(13)
Foci: f(1+&#8730;13, 3) and f(1-&#8730;13, 3)

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}}}