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You can't graph it in one function. You can graph a series of things that will, together with a little imagination, look much like a loop de loop:


Y2=-Y1 (use the VARS button)


This will draw the top half of a circle with radius 10, (the equation of a circle centered at (0,0) with radius r is x^2+y^2=r^2; when radius is 10, solving for y makes these Y1 and Y2 functions) then the bottom half of it, then a line at y=-10 to be the 'road' below the loop de loop.

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Q: How do you graph a loop de loop in function mode on a TI 83?
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