Water Fountain Parabola Project
Courtney Little & Lauren Sullivan
Location of Water Fountain
The water fountain used in this project was found at Coppell High School, in B-hall downstairs, underneath the senior bridge.
Equation of Parabola in Standard Form
y = (x - 3) (x - 3) + (6)
y = x^2 - 3x - 3x + 9
y = x^2 - 6x + 9 + (6)
y = - (x^2 - 6x + 9) + (6)
y = - x^2 + 6x - 9 + 6y = - x^2 + 6x - 3
Equation of Parabola in Vertex Form
f (x) = - (x - 3)^2 + 6
What does the height of the water leaving the spout represent?
At the spot where the water hits the tray, what is the relevance to the equation?
zero, where it would cross the x-axis
What is the maximum height of the water?
How far away from the spout is the water when it reaches this maximum height?
What is the domain related to the distance the water is from the spout?
The water traveled from the origin of the spout, 6 units over where the water hits the tray.
What is the range related to the height of the water?
The water traveled from the origin of the spout, 6 units up.
What 3 points were used to find the regression equation?
(2,5) & (3,6) & (4,5)