Answer
See below.
Work Step by Step
We plug in the values into the equation to see if they satisfy it:
$(-1,-5):3(-1)^2-8\sqrt{-1}$ is undefined, so it is not on the graph
$(4,-32):3(4)^2-8\sqrt{4}=3\cdot16-8\cdot2=48-16=32$, so it is on the graph
$(9,171):3(9)^2-8\sqrt{9}=3\cdot81-8\cdot3=243-24=219\ne171$, so it is not on the graph