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Answer:
Step-by-step explanation:
I find it convenient to use a graphing calculator to graph the function.
The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.
- The irrigation system is positioned 9.5 feet above the ground.
The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.
- The spray reaches a maximum height of 34.5 feet at a horizontal distance of 5 feet away from the sprinkler head.
- The spray reaches all the way to the ground at about 10.9 feet away.
The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.
