Given f(x)=4(x−3)2

To find \( f(2) \) for the function \( f(x) = 4(x - 3)^2 \), we will substitute \( x = 2 \) into the function:

\[ f(2) = 4(2 - 3)^2 \]

Now, calculate \( 2 - 3 \):

\[ 2 - 3 = -1 \]

Next, we square this result:

\[ (-1)^2 = 1 \]

Now, multiply by 4:

\[ f(2) = 4 \times 1 = 4 \]

Therefore, the answer is:

\[ \boxed{4} \]