Find the coordinates of 3 points on the parabola x^2 = 4y such that the normals through these 3 points pass through the point (-12,15).
I have no clue whatsoever on how to do this - the previous questions were so different. Please, any help?
A "normal" to the parabola is perpendicular to the tangent line at that point. The slope of the tangent line at is so the slope of the normal line is . A normal line to the parabola at is . Put x= -12, y= 15 into that and solve for .