A rectangular barge is traveling under a bridge with a parabolic archway. The barge is 60 feet tall and 80 feet wide. The bridge is 80 feet tall and 200 feet wide.
If the barge must travel down the right side of the river to allow two-way traffic, will it fit under the bridge? How do you know?
What if the barge is allowed to travel down the center of the river?
I've never done a word problem containing parabolas before, so I'm not sure how to approach this.