My friends recently learned about Locus and how parabola are the points equdistant from a fixed point (focus) and a straight line (directrix). However, now we're trying to find an equation or set of equations for the points at a constant distance from the parabola of function y = x^2 and cannot be closer/further from any point on the curve than any arbitrary distance (just use variable d).
As they have more experience with derivatives, they've gone with using the equation of the normal to find these equations. I've tried to use the distance formula, but with no success.
It would be awesome if we got some help on this!