Sketch the graph of the ellipse,using the latera recta. $$\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 16 } = 1$$
A)
B)
C)
D)

Question

Sketch the graph of the ellipse,using the latera recta.​ $$\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 16 } = 1$$ ​
A)​ 
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

The latera recta of an ellipse are segments that pass through the foci and are perpendicular to the major axis. In this graph, the major axis is vertical and the foci are located at (0, -3) and (0, 3). Therefore, we can draw two vertical segments passing through the foci to determine the location and size of the ellipse. Choice D shows the correct ellipse that corresponds to the given latera recta.

Sketch the Graph of the Ellipse,using the Latera Recta x24+y216=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 16 } = 14x2​+16y2​=1

Sketch the Graph of the Ellipse,using the Latera Recta $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 16 } = 1$