At what point does the normal to y=1−3x−x2y=1−3x−x2 at(1,−3)(1,−3) intersect the parabola a second time?
Hint: The normal line is perpendicular to thetangent line. If two lines are perpendicular their slopes arenegative reciprocals -- i.e. if the slope of the first line is mmthen the slope of the second line is −1/m