To find \( f(-1) \) for the function \( f(x) = x^2 + 4x + 8 \), we substitute \( -1 \) into the function:
\[ f(-1) = (-1)^2 + 4(-1) + 8 \]
Calculating each term:
\[ (-1)^2 = 1 \] \[ 4(-1) = -4 \] \[ 8 = 8 \]
Now, combine the results:
\[ f(-1) = 1 - 4 + 8 = 5 \]
Thus, \( f(-1) = 5 \).
The correct response is 5.