Chapter 11, Problem 11RE

To determine

To draw: the graph of the ellipse.

Explanation of Solution

Given information:

The equation of ellipse is $x^2+4y^2=16$

Graph: to draw the graph of the ellipse, use the plotting point method,

$x$	$y$
$-4$	$0$
$4$	$0$
$0$	$2$

By using the above table, and join the points,

The graph can be obtained as:

  

Interpretation: from the above graph it can be observed that the centre of the ellipse is $\left(0,0\right)$ , vertices are $\left(\pm 4,0\right)$ , foci are $\left(\pm 2\sqrt{3},0\right)$ and the length of the major axis is $8$ and length of minor axis is $4$ .