"Centered" in the context of Taylor polynomials means choosing a specific point on the x-axis around which we construct our polynomial approximation. This point is often denoted as "a".
Related terms
Interval: An interval refers to a continuous portion of numbers on the number line between two points.
Endpoint: An endpoint is one of the boundaries that define an interval.
Radius: In calculus, radius often refers to how far away from the center point (in this case, "a") we extend our approximation using Taylor polynomials.