Answer
See graph
Work Step by Step
$$\frac{x^2}{8}+\frac{y^2}{8}=2$$
$$x^2+y^2=16$$
This is a circle with center (0,0) with a radius of 4 units.
Points are:
$$(4,0)$$
$$(-4,0)$$
$$(0,4)$$
$$(0,-4)$$
Plot on a graph and connect with a circle.