Question 620174
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Hi,
{{{(x+3)^2/7^2-(y-4)^2/5^2=1 }}} Opens right and left along y = 4
  C(-3,4) and V(-10,4) & V(4,4)
Standard Form of an Equation of an Hyperbola opening right and  left is:
  {{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}} 
where Pt(h,k) is a center  with vertices 'a' units right and left of center 
and foci {{{sqrt(a^2+b^2)}}}units from center along y = k