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foci x=y2
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Solution
(14,0)
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Parabola Focus
A parabola is the locus of points such that the distance to a point (the focus) equals the distance to a line (the directrix)
Parabola standard equation
4p(x−h)=(y−k)2 is the standard equation for a right-left facing parabola with vertex at (h,k), and a focal length |p|
Rewrite x=y2in the standard form:4·14(x−0)=(y−0)2
(h,k)=(0,0),p=14
Parabola is symmetric around the x-axis and so the focus lies a distance p from the center (0,0) along the x-axis