My First Stanford Math Tournament Problem

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This problem is from the Stanford Math Tournament. The goal is to rotate the parabola y=x^2 so that the curve passes the point (5,0). I first thought to convert the Cartesian equation to polar but it was a bit too hard than it had to be. Check out the video to see how I did it. Also, there's the equation and the graph of the rotated parabola at the end of the video. If you want to see more math for fun videos like this, then be sure to subscribe 👉 https://bit.ly/3o2fMNo and hit the notification bell.

0:00 Stanford Math Tournament: https://sumo.stanford.edu/smt/
1:03 converting y=x^2 to polar
3:04 how I solved this problem
6:52 check out Brilliant
7:39 bonus part: equation of the rotated parabola and its graph
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non-routine math problemstrigonometric expressionsalgebraic manipulations