To find the value of \( f(-6) \) when \( f(x) = x^2 + 8x + 10 \), we need to substitute \(-6\) for \(x\) in the function:
\[ f(-6) = (-6)^2 + 8(-6) + 10 \]
Calculating each term:
- \((-6)^2 = 36\)
- \(8(-6) = -48\)
Now substituting these values into the function:
\[ f(-6) = 36 - 48 + 10 \]
Now, calculate it step by step:
\[ 36 - 48 = -12 \] \[ -12 + 10 = -2 \]
Therefore, the value of \( f(-6) \) is \(-2\).
The correct response is: \(-2\)