To find the value of \( f(-6) \) for the function \( f(x) = x^2 + 8x + 10 \), we simply substitute \(-6\) into the function.
First, substitute -6 for x:
\[ f(-6) = (-6)^2 + 8(-6) + 10 \]
Calculate each term:
- \((-6)^2 = 36\)
- \(8 \cdot (-6) = -48\)
Now add these values together:
\[ f(-6) = 36 - 48 + 10 \]
Now calculate:
\[ f(-6) = 36 - 48 = -12 \] \[ f(-6) = -12 + 10 = -2 \]
Thus, the value of \( f(-6) \) is \(-2\). The correct answer is:
B. -2