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Edit (June 2019): I used this final project with minor tweaks again this year. You can find links to some of the output for Spring 2019 - both students' graphs and write-ups - here and here. I used a Desmos Make-A-Graph prompt for an Algebra 2 class' final project last year. The results were quite good; so, I expect to incorporate at least one similar ...


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One example that comes to mind is modelling the position of a diver (or of a diver's head). Let $t$ be the time elapsed since jump. Let $d(t)$ be the diver's distance from the water and define $d(t)>0$ to be "above water" and $d(t)<0$ to be below water. (It should be obvious why $d(t)=0$ represents being "at the surface"). If we use a quadratic model, ...


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