Answer
Another function value of the graph of $y = f(x)$ that is symmetric with respect to the origin is $f(-3) = -6$.
Work Step by Step
When the graph of an equation is symmetric with respect to the origin, replacement of both $x$ with $-x$ and $y$ with $-y$ at the same time results in an equivalent equation same than the original.
So, for a function $f$, $f(3) = 6$, another function value of the graph of $y = f(x)$ that is symmetric with respect to the origin is $f(-3) = -6$.