Write y=2 (x-1) ^2-3 in stander form

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.