Concept:Substitute the given value of x into the equation and solve for y.Solution:Given: 2y=1−3x2+4xWhen x=−1, replace every x with −12y=1−3(−1)2+4(−1)Compute (−1)2=1, so −3(1)=−3Also 4(−1)=−4Thus 2y=1−3−42y=1−7=−6Divide both sides by 2y=2−6=−3Answer:Option A (−3)