Question 437895
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi, 
 4x^2 - y^2 - 8x - 4y + 16 = 0   |Multiplying thru by -1
  y^2 + 4y - 4x^2 + 8x - 16 = 0
 (y+2)^2 -4  - 4[(x-1)^2 -1]  - 16 = 0
 (y+2)^2 -4  - 4(x-1)^2 +4  - 16 = 0
 (y+2)^2 - 4(x-1)^2 = 16
 {{{(y+2)^2/16 -  (x-1)^2/4 = 1}}} C(1,-2) Vertices: (1,-6) and (1,2)
Domain:*[tex \large \ \ x\ \in\ \mathbb{R}] and Range: {y  &#8804; -6 , y &#8805; 2} 
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graph(300,300,-10,10,-10,10,0,4sqrt(1+ (1/4)(x-1)^2)-2,-4sqrt(1+ (1/4)(x-1)^2)-2 ))}}}