Show that the curve with parametric equations ,

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Show that the curve with parametric equations

x = t^2

y = 1 - 3t

z = 1 + t^3

passes through the points

(1, 4, 0)

and

(9, -8, 28)

but not through the point

(4, 7, -6)