Are the parametric equations for the quarter of an ellipse centered at $(0,0)$, starting at $(0,2)$ and ending at $(-4,0)$, given by $x=4 \cos t, y=2 \sin t, \frac{\pi}{2} \leq t \leq \pi$ ?

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The parametric equations $x=4 \cos t, y=2 \sin t$ describe an ellipse centered at the origin with semi-major axis 4 and semi-minor axis 2. The given range for $t$, $\frac{\pi}{2} \leq t \leq \pi$, corresponds to the second quadrant, which covers the quarter of the ellipse from $(0,2)$ to $(-4,0)$.

Are the Parametric Equations for the Quarter of an Ellipse (0,0)(0,0)(0,0)

Are the Parametric Equations for the Quarter of an Ellipse $(0,0)$