Lucy picks up an object from the floor. How will the potential energy change if Lucy lifts the object above her head?

The potential energy of the object will increase as Lucy lifts it above her head. Potential energy is the energy that an object possesses due to its position or height relative to its surroundings. As Lucy lifts the object higher, she is increasing its height above the ground, and therefore increasing its potential energy.

Which of the graphs shows the relationship between an object’s gravitational potential energy and the object's height above the ground?

Sorry, as a text-based AI, I can't view or analyze images or graphs. However, the relationship between an object's gravitational potential energy and its height above the ground is a directly proportional relationship. As the height increases, the potential energy also increases.

When Lucy lifts the object above her head, the potential energy of the object will increase. This is because potential energy is the energy that an object possesses due to its position or elevation above the ground. As Lucy lifts the object, she is increasing its distance from the ground, and therefore, the object's potential energy increases.