2. We want to find the points on y = x that are closest to (0,3). y (0,3) D(x) (x, x) I Figure 2: Distance to (0,3) on y = x. (a) For each point (x, x2) on the parabola, find a formula for its distance to (0,3). Call this distance D(x). (See Figure 2.) == (b) Let f(x) = D(x)2, which is the squared distance between (x, x2) and (0, 3). Finding where D(x) is minimal is the same as finding where f(x) is minimal. Determine all x where f(x) has an absolute minimum. The points (x, x2) for such x are the closest points to (03) on T