The curve represents a circle at the origin, \(x^ +y^2 = r^2 \).

Simplify the equation to its standard form: \(18x^2 + 18y^2 = 288\)

\(x^2 + y^2 = 16\)

Locate the center and the radius of the circle.

The center of the circle is at the origin.

\( r^2 = 16\)

\( r = 4\)

Graph the curve.