In submarine location problems, it is often necessary to find a submarine's closest point of approach (CPA) to a sonobuoy (sound detector) in the water. Suppose that the submarine travels on the parabolic path yequalsx squaredand that the buoy is located at the point (2 comma negative one half ).Complete parts a and b below.-33-22xy(2 comma negative one half )CPAA coordinate system has a horizontal x-axis labeled from negative 3 to 3 in intervals of 1 and a vertical y-axis labeled from negative 2 to 2 in intervals of 1. A parabola that opens upward has vertex (0, 0) and passes through the points (negative 1, 1) and (1, 1). A dashed line segment connects two plotted points, one at approximately (0.7, 0.5), labeled C P A, and the other at (2, negative StartFraction 1 Over 2 EndFraction).

a. Show that the value of x that minimizes the distance between the submarine and the buoy is a solution of the equation xequalsStartFraction 1 Over x squared plus 1 EndFraction.