Can anyone me with this problem ? the answer choices are provided

Y = -2x^2 + 4x + 3 Put brackets around the first 2 terms.
y = (-2x^2 + 4x) + 3 Take out a common factor of -2 from the brackets.
y = -2(x^2 - 2x) + 3 add a number inside the brackets that will make inside the brackets a perfect square. the method is shown below.

y = -2(x^2 - 2x + (2/2)^2 ) + 3
y = -2(x^2 - 2x + 1) + 3
y = -2(x^2 - 2d + 1) + 3 - (-2*1)
y = -2(x^2 - 2x + 1) + 3 + 2
y = -2(x - 1)^2 + 5

B <<<<< answer.