A portion of a roller coaster track is to be built in the shape of a parabolic function. See the figure above. The high and low points on the track are separated horizontally by 44 meters and vertically by 31 meters. The low point is 3 meters below the ground.a)Letting y be the number of meters the track is above or below the ground and x the number of meters horizontally from the high point, write the equation/s expressing y in terms of x for the roller coaster track. The parabola changes from turning down to turning up at x = 12.
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