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From the function y=x^2-4x+7 to complete the square we proceed as follows: The vertex form is given by: y=(x-h)^2+k where (h,k) is the vertex: thus from the function we shall have: y=x^2-4x+7 c=(b/2a)² c=(4/2)²=4 thus adding an subtracting 4 in the expression: y=x^2-4x+4-4+7 y=(x-2)^2+3 thus the vertex will be: (2,3)
