Which of the following plane parametric curves is a parametrization of an ellipse centred at (4, -2)?
A) x = 3 - 4cos(t), y = 5 + 2sin(t), 0 $\le$ t $\le$ 2$\pi$
B) x = 3 + 4cos(t), y = 5 - 2sin(t), 0 $\le$ t $\le$ 2$\pi$
C) x = 4 + 3cos(t), y = -2 + 5sin(t), 0 $\le$ t $\le$ 2$\pi$
D) x = - 4 + 3cos(t), y = 2 + 5sin(t), 0 $\le$ t $\le$2$\pi$
E) x = 4 - 2cos(t), y = 4 - 2sin(t), 0 $\le$ t $\le$ 2$\pi$

Question

Quizplus · Accepted Answer

The correct parametrization for an ellipse centered at (4, -2) is given by $x = 4 + a\cos(t)$ and $y = -2 + b\sin(t)$, where $a$ and $b$ are the semi-major and semi-minor axes (or vice versa) of the ellipse. Option C correctly places the center of the ellipse at (4, -2) and uses cosine and sine functions for $x$ and $y$ respectively, indicating an elliptical shape.

Which of the Following Plane Parametric Curves Is a Parametrization ≤\le≤

Which of the Following Plane Parametric Curves Is a Parametrization $\le$