To answer this question, we need to substitute the value of x into the function as follows:
[tex]f(x)=-2x^2+3[/tex]Then, we have:
[tex]f(-3)=-2(-3)^2+3=-2(9)+3=-18+3=-15[/tex]Therefore, f(-3) = -15.
In summary, we have that:
[tex]f(-3)=-15[/tex][Option 1.]