Consider the parametric equations

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

x=t,\;y=t^{3}-3t

. At which one of the following points does the curve have an inflection point? (a)

(1,-2)

(b)

(0,-3)

(c)

(0,0)

(d)

(-1,2)