Please this is kind of tricky, but I need to find the point at which the parabola y=x^2 and a unit circle traveling on the x axis from the right intersect.

I know that in order to do this I need to use the distance formula, finding the minimum distance between the point of intersection and the center of the circle. We do not know the point for the center of the circle except for the y value of 1.

[*]The circle stops at the point of intersection with y=x^2