The standard form for this equation would be y = 2x^2 - 4x -1. This can be computed by expanding first the (x - 1)^2 which is x^2 - 2x +1. Then this will be multiplied by 2 which will give us, 2x^2 - 4x +2. Lastly, we will deduct the 3 from the equation which gives us the final answer of y= 2x^2 - 4x -1.