Find Parametric Equations for Functions
-Ellipse: Center: $( 5 , - 5 )$; Vertices: 6 units above and below the center; Endpoints of Minor Axis: 4 units left and right of the center.
A) $x = 5 + 4 \cos t , y = - 5 + 6 \sin t$
B) $x = 5 + 6 \cos t , y = - 5 + 4 \sin t$
C) $x = 5 - 4 \cos t , y = - 5 - 6 \sin t$
D) $x = 4 + 5 \cos t , y = 6 - 5 \sin t$

Question

Quizplus · Accepted Answer

The ellipse has a center at (5, -5), a vertical major axis of length 12 (6 units above and below the center), and a horizontal minor axis of length 8 (4 units left and right of the center). The parametric equations for an ellipse centered at (h, k) with semi-major axis a and semi-minor axis b are $x = h + a\cos(t)$ and $y = k + b\sin(t)$. Thus, the correct equations are $x = 5 + 4\cos(t)$, $y = -5 + 6\sin(t)$.

Find Parametric Equations for Functions -Ellipse: Center (5,−5)( 5 , - 5 )(5,−5)

Find Parametric Equations for Functions
-Ellipse: Center $( 5 , - 5 )$