To find \( f(-6) \) for the function \( f(x) = (x - 8)^2 \), we need to plug in \(-6\) into the function:
\[ f(-6) = (-6 - 8)^2 \]
Calculating the expression inside the parentheses:
\[ -6 - 8 = -14 \]
Now we square \(-14\):
\[ (-14)^2 = 196 \]
Thus, \( f(-6) = 196 \).
The correct answer is:
A. 196