Assuming a portion of the trajectory of a nuclear missile fired when plotted in the Cartesian plane follows a quadratic curve and is found to pass through the points (–1, 0), (0, 1), and (1, 4). A stealth plane must intercept the missile by firing a heat-seeking missile which will travel in an orthogonal trajectory with the nuke. If the interception is a success at the point (2, 9), determine the equation of the trajectory of the heat-seeking missile.
Sketch the trajectories of both missiles.