I am having a lot of trouble trying to solve this problem. I don't really know how to start it off. Any kind of help would be great!! Thanks a lot!
Let S denote the set of points with coordinates (x,y) such that 0 ≤ x ≤ 15 and y ^2 = 150 - 10x. Find the coordinates of the point(s) of S nearest to the origin. Also find the coordinates of the point(s) of S farthest from the origin. Justify your answer.