Completing the Square

Given the quadratic equation in standard form: y=-negative3x²−6x+4y equals negative 3 x squared minus 6 x plus 4

Group the x terms:

y=(-negative3x²−6x)+4y equals parenthesis negative 3 x squared minus 6 x parenthesis plus 4

y=-negative3(x²+2x)+4y equals negative 3 times the quantity x squared plus 2 x plus 4

y=-negative3(x²+2x)+4y equals negative 3 times the quantity x squared plus 2 x plus 4

y=-negative3(x²+2x+1)+4y equals negative 3 times the quantity x squared plus 2x plus 1 plus 4

y=-negative3(x²+2x)+4y equals negative 3 times the quantity x squared plus 2 x plus 4

y=-negative3(x²+2x+1)+4−-negative3y equals negative 3 times the quantity x squared plus 2x plus 1 plus 4 minus negative three

y=-negative3(x+1)²+7y equals negative 3 times the quantity x plus 1 squared plus 7