A Simply Supported Beam Is 12 Meters Long and Has $a = 12 , b = 2$

Multiple Choice

A simply supported beam is 12 meters long and has a load at the center (see figure) .​ ​ where, $a = 12 , b = 2$ The deflection of the beam at its center is 2 centimeters.Assume that the shape of the deflected beam is parabolic.Write an equation of the parabola.(Assume that the origin is at the center of the deflected beam. )
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A) $$x ^ { 2 } = - 180 y$$
B) $$x ^ { 2 } = 180 y$$
C) $y ^ { 2 } = 180 x$
D) $y ^ { 2 } = - 180,000 x$
E) $x ^ { 2 } = 180,000 y$