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 ↕)

 or x=a(y-k)2 +h (opening ↔)

Best describes the Curve as a Parabola with vertex (h,k) 

For ex:

 y = x^2 - 2x + 1  

   =    Vertex is (1,0) opening Up  (a = 1 >0)



 

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