For the curve defined by with

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

Problem

For the curve defined by

x=t^{2}+1,\;y=t^{3}-3t

with

-2\le t\le2

, determine the sets of parameter values for which the curve is concave upward and concave downward.