An equation of the latus rectum of the parabolax2+4x+2y=0 is

We can write the equation of the parabola as(x+2)2=−2(y−2)Shifting the origin to (–2, 2), the equation isX2=−2Y where  X=x+2,Y=y−2Equation of the latus rectum is Y=−24=−12⇒y=32.