Step 1 :The question is asking to evaluate the function \(f(k)=3 k^{2}+6\) when \(k=-3\).
Step 2 :To solve this, we need to substitute \(k=-3\) into the function and calculate the result.
Step 3 :Substituting \(k=-3\) into the function, we get \(f(-3)=3(-3)^{2}+6\).
Step 4 :Solving this, we get \(f(-3)=33\).
Step 5 :Final Answer: The value of the function \(f(k)=3 k^{2}+6\) when \(k=-3\) is \(\boxed{33}\).