Consider the parametric equations and

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

Problem

Consider the parametric equations

x=t^{3}-t

and

y=t^{2}

. Determine the concavity of the curve at

t=-1

and at

t=1

. State whether the concavity classification changes as the curve moves from

t=-1

t=1