Let and , where is a real constant. Which one of the following correctly describes…

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

Problem

Let

x=t^{3}-3a t

and

y=t^{2}

, where

a

is a real constant. Which one of the following correctly describes all values of

a

for which the curve possesses two distinct vertical tangents? (a)

a\ge 0

(b)

a=0

(c)

a>0

(d)

a<0