THE FOUNTAIN OF YOUTH

BY: Mr. Mason Adams & Mr. Christopher Shelton

Water Fountain Parabola

Points: (1,3) (2,5) (3,3)
Vertex: -2(x-2)^2+5
Standard:-2x^2+8x-3

Fountain Location: Spanish Hallway

Questions

1.What does the height of water leaving the spout represent?

2.At the spot where the water hits the tray, what is the relevance to the equation?

3.What is the maximum height of the water?

4.How far away from the spout is the water when it reaches the maximum height?

5.What is the domain related to the distance from the spout?

6.What is the range related to the height of the water?

7.What 3 points were used to find the regression equation?



ANSWERS:

1. It represents the range of the parabola and how far up the y-axis the water goes.

2. It is the zero in the graph

3. 5 is the maximum height

4. 2 points

5. (1/2,7/2)

6. (0,5)

7. (1,3) (2,5) (3,3)