Question

Rewrite y= x^2-6x+2 in vertex form and state the coordinates of the vertex

Answer 1

Because Vertex form is f(x)=a(x-h)$^{2}$+k, when (h,k) in the vertex

and y= $x^{2} -6x+2 = x^{2} -6x+9-7 = (x-3) ^{2} -7$

so $y= (x-3) ^{2} -7$ will be the vertex form

so the vertex will be (3,-7)