Path of a Cannonball A cannon fires a cannonball as shown in the figure. The path of the cannonball is a parabola with vertex at the highest point of the path. If the cannonball lands ft from the cannon and the highest point it reaches is ft above the ground, find an equation for the path of the cannonball. Place the origin at the location of the cannon.
The equation for the path of a cannonball.
The graph of the path of a cannonball is given as
The standard form of a parabola is given as
From the graph the vertex is and the point is on the graph. Then, it should satisfy .
Substitute , , and in
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