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Course: MAT 3050 Geometry
Section: OL50
Professor Kate Poirier
kpoirier (at) citytech.cuny.edu
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New York City College of Technology, C.U.N.Y
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[latexpage]
Charlotte, I’m so excited to read your final paper! For the quadratic and/or cubic examples that you are including, I think it would help to have a very concrete example. You can choose specific $(x,y)$-coordinates for $P_0$, $P_1$, and $P_2$ (you can choose easy numbers to work with) and then show step-by-step calculations to arrive at the equation of the parabola that they determine.
If you want to get really fancy, you could include a screen recording of you drawing some curves yourself and narrating how you knew where to place the points!