Hi

Note: the vertex form of a parabola,  where(h,k) is the vertex

Parabola: x^2 = 12y  OR  where Pt(0,p) is the focus 

parabola with center at Pt(0,0) and Pt(0,3) is the focus

and the length of the latus rectum chord = 4p = 12

the area of the triangle formed joining (Pt(0,0) to the ends of its latus-rectum

A = (1/2)b*h = 1/2 * 12 * 3 = 18



 

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