Parabolas in Water

Feb 14, 2026

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This study explores the characteristics of parabolas in the context of water trajectories, utilizing quadratic regression to analyze the data. The quadratic equation derived is y = -0.212919171x² + 0.10976664x + 9.050969533, with a vertex at (-0.011695711, 9.049657736) and x-intercepts at (7, 0) and (6.5, 0). The domain is all real numbers, and the range extends to infinity. Visuals and a detailed bibliography, including a relevant image from Wikimedia, support the findings and enhance understanding of this phenomenon.

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Parabolas in Water

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Parabolas in Water Submitted by Calvin Tran
Parabola in nature:
Quadratic Regression: y=-.212919171x2+.10976664x+9.050969533 Vertex: (-.011695711,9.049657736 X-intercepts: (7,0) and (6.5,0) Domain=Reals Range=(-∞,9049657736)
Bibliography Picture – Parabolic Water Trajectory 09(Parabolic Water Trajectory, Wikimedia, http://commons.wikimedia.org/wiki/File:ParabolicWaterTrajectory.jpg, October 4, 2009)
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