4. A hammock, hangs between two trees and forms a curve that can be approximated by a parabola. The two trees are
8 meters apart. One end of the hammock is 1 meter to the right of the one tree and 3 meters above the ground. The
other end of the hammock is 1 meter to the left of the second tree and 3 meters above the ground. The center of
the hammock is halfway between the two trees and is 2.635 meters above the ground.
a. Make a sketch of a graph representing the hammock. Label the ends and the center.
b. Write a function that models the hammock. Include the domain and range of the function.