I am trying to determine the tangent of the vertex and the axis of symmetry of a rotated parabola, not knowing the equation of the parabola, and only knowing 3pts the equation has to satisfy. Can anyone help out with this? I have three points, the second is always the vertex, and pt1 and point 2 are on opposite sides of the parabola; yet, they are unequal in distance from the vertex. for example: pt1 is something like 1,2 pt2 , the vertex, is 2,8 pt3, is something like 9,7 I already know the math to get tangent, I just need the process to find the equations of the parabola that is rotated knowing only three points. This relates to quadratic bezier curves cause it will enable me to find the control point with some additional steps; it is just getting over this hurdle that bites.