Graph the curve with parametric equations x = t y = 2t z = 4t Explain its shape by…

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

Problem

Graph the curve with parametric equations

x = \sin t \quad y = \sin 2t \quad z = \cos 4t

Explain its shape by graphing its projections onto the three coordinate planes.