Question 441857
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi, Note: 
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.
 vertices at (-2,0) and (2,0), focus at (4,0)  Center( 0,0)
         {{{x^2/2^2 - y^2/b^2 = 1}}}  f = 4 = {{{sqrt(2^2 + b^2)}}}  b^2 = 12
               {{{x^2/4 - y^2/12 = 1}}}  
{{{drawing(300,300,-10,10,-10,10,  grid(1),
circle(0, 0,0.3),
circle(-2, 0,0.3),
circle(2, 0,0.3),
circle(4, 0,0.3),
graph(300,300,-10,10,-10,10,0, 3.46sqrt(((x)^2/4) -1),-3.46sqrt(((x)^2/4) -1)))}}}
<img  src="http://upload.wikimedia.org/wikipedia/commons/thumb/9/97/Hyperbola_properties.svg/200px-Hyperbola_properties.svg.png">




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