Hi,

y=(x-7)(x+5)

y= x^2 - 2x - 35   |completing the Square to fine the Vertex

y=(x-1)^2 -1-35

y = (x-1)^2 - 36   V(1,-36)

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

 

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