I need to find a parametric equation of the vector function which is the intersection of y = x2 and x2 + 4y2 + 4z2=16. I know the graph of the first equation is a parabola which stretches from negative infinity to infinity in the z direction. I also know that the second equation is that of an ellipsoid. I have attempted to solve this by substituting x2 for y in the second equation which I think produces an ellipse. After this I am stuck.