A design student is plotting a vertical elliptical window for a building plan using the equation $\frac{(x+3)^2}{4} + \frac{(y-5)^2}{16} = 1$. Match each feature of the ellipse with the correct value or description derived from this equation.

An engineering technician is configuring a computer-aided design (CAD) software to plot an elliptical component given by the equation $\frac{(x+3)^2}{4} + \frac{(y-5)^2}{16} = 1$. To correctly establish the starting reference point and the primary axis of elongation, what is the center of this ellipse and its orientation?

An urban planner is designing a vertical elliptical park defined by the equation $\frac{(x+3)^2}{4} + \frac{(y-5)^2}{16} = 1$. Arrange the following steps in the correct order to graph this ellipse on a city coordinate map, starting from the identification of the center.

Determining Vertices for an Elliptical Component

A machinist is programming a CNC mill to cut an elliptical component defined by the equation $\frac{(x+3)^2}{4} + \frac{(y-5)^2}{16} = 1$. To verify the part's dimensions, the machinist identifies the distance from the center point $(-3, 5)$ to the endpoints of the minor axis along the horizontal axis. Based on the denominator under the $x$-term, this distance is ____ units.

A drafting technician is modeling an elliptical machine part using the equation $\frac{(x+3)^2}{4} + \frac{(y-5)^2}{16} = 1$. When plotting the points from the center $(-3, 5)$, the technician should move 4 units left and right to find the vertices along the major axis.

Designing a Custom Elliptical Arched Doorway