Answer to Question 3

Qappliedpic3
"y" is measured in feet.
Qappliedpic2
a) The highest point will be the vertex (maximum) of the graph.
Algebracially find the axis of symmetry (-b/(2a)) which is x = 0. The y-value will be 4, so the highest point is (0,4).
The highest point is 4 feet above the water level.

b) The horizontal distance will be the distance between the two roots of the equation (x = ±5) for a distance of 10 feet.

c) 6 inches is ½ a foot.
Qappliedpic4 The distance between the spout height of 6 inches on the arc will be 9.354143467 feet, or approximately 9.4 feet.

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