Final answer:
Conceptual art, which emerged as a movement during the 1960s, is the art movement in which an idea takes the place of an art object.
Step-by-step explanation:
The art movement in which an idea takes the place of an art object and is an outgrowth of Minimalism is Conceptual art. Conceptual art emerged as a movement during the 1960s and emphasized the artistic idea over the art object itself. It attempted to free art from the confines of the gallery and the pedestal, focusing on the mental conception of the artwork. Unlike Performance art or Pop Art, which are also mentioned in the options, Conceptual art specifically aligns with the description provided.