Consider the curve defined by and for all real

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

Problem

Consider the curve defined by

x=t^{2}-2t

and

y=3t^{2}-6t+4

for all real

t

. Find the value of

t

at which the tangent is horizontal and state the corresponding point on the curve.