Question 813860
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Quadratic Equations  belong to a group of Equations called Conics:      
Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0
Quadratic Eq being of the type: 
y = ax^2 + bx + c  0r x = ay^2 + by + c
Using the Vertex Form:
 y= a(x-h)2 +k  (opening &#8597;)
 or x=a(y-k)2 +h (opening &#8596;)
Best describes the Curve as a Parabola with vertex (h,k) 
For ex:
 y = x^2 - 2x + 1  
   = {{{1*(x -1)^2  + 0}}}   Vertex is (1,0) opening Up  (a = 1 >0)
{{{drawing(300,300,   -6, 6, -6, 6, grid(1),
circle(1, 0,0.3),
graph( 300, 300, -6, 6, -6, 6,0, x^2 - 2x + 1
 ))}}}