Question 438712
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Hi
Standard Form of an Equation of an Hyperbola opeing 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.
x^2/4-y^2/25=1  C(0,0) with vertices V(-2,0) and V(2,0) - the x-intercepts
Foci(c={{{sqrt(29)}}}: F(-5.3851,0) and F(5.3851,0)
Asymptotes: y = ± (5/2)x

{{{drawing(300,300,-10,10,-10,10,  grid(1),
circle(-5.39, 0,0.3),
circle(5.39, 0,0.3),
graph(300,300,-10,10,-10,10,0,-(5/2)x, (5/2)x,5sqrt(((x)^2/4) -1),-5sqrt(((x)^2/4) -1)))}}}