Answer
See graph
Work Step by Step
The centre of the ellipse is $(0,0)$.
We are given:
$a^2=25$
$b^2=16$
Determine the endpoints of the major and minor axis:
$a^2=25\Rightarrow a=\pm\sqrt{25}=\pm 5$
$b^2=16\Rightarrow b=\pm\sqrt{16}=\pm 4$
The endpoints are:
$(-5,0),(5,0),(0,-4),(0,4)$
We draw the ellipse using its centre and the 4 endpoints:
