Answer
Circle
Work Step by Step
${{y}^{2}}+{{x}^{2}}=8$
Write in the standard form of a circle:
${{x}^{2}}+{{y}^{2}}={{\left( \sqrt{8} \right)}^{2}}$
Clearly, this matches the form $x^2 + y^2 = r^2$
Therefore, the graph of the equation is a circle.
