Hi,
x^2-y=6
y = x^2 - 6    |Solving for y to get the Vertex Form
Parabola opening Upward (coefficient of x^2 > 0), C(0,-6)
Line of Symmetry the y-axis (x = 0).  P(2,-2) on the parabola (substituting x = 2)

the vertex form of a Parabola opening up(a>0) or down(a<0),  
 
where(h,k) is the vertex  and  x = h  is the Line of Symmetry