A physical pendulum consists of a rigid body of mass \(M\) and rotational inertia \(I\) pivoted about a frictionless horizontal axis located a distance \(d\) from its center of mass. The pendulum is released from rest at an initial angular displacement \(\theta_0\), where \(0 < \theta_0 < \pi\), and oscillates with mechanical energy \(E\). Which of the following best describes the qualitative shape of the graph of angular velocity \(\omega\) versus angular displacement \(\theta\) over one complete cycle, and how that shape deforms as \(\theta_0\) approaches \(\pi\)?