Question 438710
  <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.
  5x^2-20y^2=100
{{{(x)^2/20 -(y+2)^2/5 =1}}}  C(0,0) with vertices V(0,-2{{{sqrt(5)}}}) and V(0,2{{{sqrt(5)}}})
Domain: {x &#8805; 2{{{sqrt(5)}}}), x &#8804; -2{{{sqrt(5)}}}) }  
Range:*[tex \large \ \ y\ \in\ \mathbb{R}]
Foci(c={{{sqrt(25)=5}}}): F(-5,0) and F(5,0)
Asymptotes:   y = .5x and y = -.5x
{{{drawing(300,300,-10,10,-10,10,  grid(1),
circle(-5, 0,0.3),
circle(5,0,0.3),
graph(300,300,-10,10,-10,10,0,-.5x, .5x,2.24sqrt(((x)^2/20) -1),
-2.24sqrt(((x)^2/20) -1)))}}}