At what point does the normal to $y= x-3+3x^{2}$ at $(1, 1 )$ intersect the parabola a second time?

Answer:

Note: You should enter a cartesian coordinate.

The normal line is perpendicular to the tangent line. If two lines are perpendicular their slopes are negative reciprocals -- i.e. if the slope of the first line is $m$ then the slope of the second line is $- 1/m$