POTW #18 - May 13, 2024
Contributed by: devourer
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Difficulty: 9
This problem is tagged with potw, potw2024, devourer.
MCR Problem of the Week, May 13, 2024 Edition
A known property of parabolic mirrors is that they can converge light rays onto a single focal point, provided that the light rays come from the opening side of the parabola and that they are parallel to its axis of symmetry.
devourer has such a mirror with equation $y = 3x^2 - 2x + 1$. Determine the coordinates of the focal point of this mirror.
Answer Submission Note(s)
Format your answer as (x,y). Use fractions and do not include spaces.
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