Which graph below corresponds to the given parametric equations?

Question

Quizplus · Accepted Answer

The given parametric equations are:
x = 3sin(t)
y = 2cos(t) + 1
Comparing with the graphs, we can see that only graph C corresponds to these equations as it exhibits the characteristic of sinusoidal motion along the x-axis and simple harmonic motion along the y-axis. The amplitude of the x-motion is 3 and that of the y-motion is 2. The phase difference between the motions is pi/2 (as sin and cos curves are orthogonal).

Which Graph Below Corresponds to the Given Parametric Equations