Conclusions on maths project about the quadratic yards.
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Answer:
For this quarter’s math project, we were assigned to investigate and look for real-life parabolas, graph them and make them in to a presentation. The real-life examples we found were: a Badminton racket, handles, angry bird trajectory, guitar peak, juggling, a mini-clock, and a slinky. These are all things that we can see every day, but it took us a while to figure out that it was a parabola because we never thought about it. After finding these parabolas, we had to choose three of them, put them in a graph, and find the quadratic equation that would make the same parabola. This was not a hard job because we already
learned about this topic thoroughly in the class. We had to first find the equation using the points from the graph. We used three different methods: (One for each) Using matrices, using
the quadratic formula, and completing the square method. Once we had the equation, we had to find: Domain, range, x / y intercepts, vertex, axis of symmetry, 3 other points, and reflected points. All these could be easily done if you had the correct equation. The hardest one to find was the x intercept because there are two x intercepts, (since it is a parabola) and it just took us longer.
What I learned from this project was that we are surrounded by lots of parabolas. We usually never notice them because we do not really watch them thoroughly. It was a fun experience to practice using quadratic equations with objects that we are familiar with, and relate them to our own life. I think it was very beneficial in order to fully understand the concept.
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