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The Spark City event planners are planning a big fireworks display for the 4th of July. The fireworks will launch from a boat in the bay, and must land in a designated “fire safe” zone meters away. To be visible above the buildings and the trees, the fireworks must reach at least meters high. Write an equation that could model the path of the fireworks.

Sketch a graph of the situation.

The path is a parabola.

If the boat is located at , then the vertex of the parabola is .

Use the equation of a parabola: .