We don't know, So we proceed by trial and error to find points on this Parabola that might include alpha and beta. We assume the Parabola will be in standard position, that is the Vertex is at (0,0). So the roots are (0,0). After much searching we find that around the point (2.5, 3.2) in the first quadrant we find a point of . Could this be one of the points on the other Golden Parabola that we are looking for?

We know that in standard position that the equation of the parabola, if it opens to the right, must be .

Using the above coordinates and solving for 2*P we find that 2*P=4, which means that P=2 and our equation of the other parabola is and for simplicity we will let a=1.