Answer
See below.
Work Step by Step
If we plug in the respective $x$ and $y$ values of $(x,y)$, we can check if it satisfies the equation, if it does, it is on the graph, if it doesn't it is not on the graph.
Hence here: $(0,3)\rightarrow0^2+9=0+9=9=3^2$, so it is on the graph
$(3,0)\rightarrow3^2+9=9+9=18\ne0^2$, so it is not on the graph
$(-3,0)\rightarrow(-3)^2+9=9+9=18\ne0^2$, so it is not on the graph