The given equations is of the form `x^(2)=-4ay"where "4a=6,i.e. a=(3)/(2)`.So, this is a case of upward parabola. Its focus is `F(0,a),i.e. F(0,(3)/(2))` Its vertex is O(0,0). The equation of the directrix is y=-a i.e, `y=(3)/(2)`. Its axis is y-axis, whose equations is x=0. Length of latcus rectum=`4a=(4xx(3)/(2))`units=6units.