Which term describes a performance style characterized by energy and liveliness?

The term "Animato" describes a performance style characterized by energy and liveliness. This term derives from the Italian word "animare," which means "to enliven" or "to give life to." When musicians are instructed to play in an animato manner, they are encouraged to infuse their performance with vitality, spirit, and briskness. This style is often employed in various musical contexts to convey a sense of excitement or a fast-moving, upbeat character.

In contrast, the other terms denote different expressive qualities. "Con fuoco" indicates a performance done with fire or intensity, often associated with passionate playing but does not specifically emphasize liveliness as much as animato. "Cantabile" refers to a singing style that is lyrical and expressive, focusing more on melody and phrasing than on energy. "Con grazia" translates to "with grace," highlighting elegance and fluidity rather than liveliness. Therefore, the focus of the term animato on liveliness makes it the best fit for the description given in the question.