MathDB
Putnam 1939 B4

Source:

August 20, 2021
Putnam

Problem Statement

The axis of a parabola is its axis of symmetry and its vertex is its point of intersection with its axis. Find: the equation of the parabola which touches y=0y = 0 at (1,0)(1,0) and x=0x = 0 at (0,2);(0,2); the equation of its axis; and its vertex.