Question 924825
x^2/8^2- y^2/7^2= 1
C(0,0), V(0,-8) and V(0,8), F(0, -√113) and F(0, √113)
Asymptotes:  y = (7/8)x  and y = (-7/8)x 
Standard Form of an Equation of an Hyperbola opening right and  left is:
{{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}} 
C(h,k) and vertices 'a' units right and left of center,   
2a the length of the transverse axis.  e = c/a.
Foci are  c = {{{sqrt(a^2+b^2)}}}  units right and left of center along y = k
Asymptotes Lines pass thru C(h,k), with slopes  m =  ± b/a 

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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 up(a>0) or down(a<0), {{{y=a(x-h)^2 +k}}}. V(h, k)