(6) Olivia is vacationing in a cabin along a river. The path of the river near Olivia's cabin can be modeled by the function y = r². Olivia's cabin is located at the point (0,3) on the diagram. He noticed that a boat is floating at the point (3,2.25) on the river. River 2 Cabin (a) What is the distance of the boat from Olivia's cabin? (3.2.25) (b) What is the minimum distance from Olivia's cabin to the river? (c) What are the location(s) on the river that are closest to Olivia's Cabin? Page 3 of 4

Fig: 1