True or false:

is a quadratic function.

I'm not 100% sure but, I think its False

Suppose it is a quadratic function, the equation is y=ax²+bx+c
use the first three points to find a, b, and c
(0, -3): -3=0a+0b+c, c=-3
(1,-2): -2=a+b-3 =>a+b=1 
(2,1); 1=4a+2b-3  =>4a+2b=4
solve for a and b, we get a=1, b=0

so the quadratic equation is y=x²-3

Next, find out if the other two points fit this equation.
when x=3, y=3²-3=6, so (3,6) works.
when x=4, y=4²-3=13, so (4,13) also fits this equation.

yes, all these points are on the graph. This is a quadratic function.