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Rolling a parabola의 복사본

Author:
장경환, Julian Gilbey
This is the parabola with equation . The parameter can be adjusted using the left hand slider. By sliding the right-hand slider, you can roll the parabola along the x-axis. The focus, , is initially at . What is the (cartesian equation of the) locus of as the parabola rolls?
Challenge: Can you reconstruct this GeoGebra applet yourself?

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