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.
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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 + 6

y = - 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?

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

zero, where it would cross the x-axis
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What is the maximum height of the water?

6
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How far away from the spout is the water when it reaches this maximum height?

3
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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.
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What is the range related to the height of the water?

The water traveled from the origin of the spout, 6 units up.
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What 3 points were used to find the regression equation?

(2,5) & (3,6) & (4,5)
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