To find \( f(-1) \) for the function \( f(x) = x^2 + 4x + 8 \), we substitute \(-1\) for \(x\):
\[ f(-1) = (-1)^2 + 4(-1) + 8 \]
Calculating each term:
\[ (-1)^2 = 1 \]
\[ 4(-1) = -4 \]
Now substituting these into the equation:
\[ f(-1) = 1 - 4 + 8 \]
Now, simplifying:
\[ f(-1) = 1 - 4 + 8 = -3 + 8 = 5 \]
Thus, \( f(-1) = 5 \).
The answer is 5.