CPM Homework Help : INT3 Problem 2-85

The Spark City event planners are planning a big fireworks display for the 4^th of July. The fireworks will launch from a boat in the bay, and must land in a designated “fire safe” zone $100$ meters away. To be visible above the buildings and the trees, the fireworks must reach at least $30$ meters high. Write an equation that could model the path of the fireworks.

Hint 1:

Sketch a graph of the situation.

Hint 2:

The path is a parabola.

Hint 3:

If the boat is located at $(0,0)$ , then the vertex of the parabola is $(50,30)$ .

Hint 4:

Use the equation of a parabola: $y=a(x−h)^2+k$ .