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Question

# Use your answers from the given equations a. A circle: $x=h+r \cos t, y=k+r \sin t$ b. An ellipse: $x=h+a \cos t, y=k+b \sin t$ c. A hyperbola: $x=h+a \sec t, y=k+b \tan t$ to find a set of parametric equations for the conic section or the line. Ellipse: Center: $(4,-1)$; Vertices: 5 units above and below the center; Endpoints of Minor Axis: 3 units to the left and right of the center

Solution

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In this problem, we parametrize the ellipse whose center is at $(4,-1)$, with its vertices $5$ units from the center (with distances parallel to the $y-$axis), and with endpoints of the minor axis $3$ units to the left and right.

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