To find \( f(-2) \) for the function \( f(x) = 4x^2 - 3x + 7 \), substitute \(-2\) for \(x\):
\[ f(-2) = 4(-2)^2 - 3(-2) + 7 \]
Now, calculate each term:
- \( 4(-2)^2 = 4 \cdot 4 = 16 \)
- \( -3(-2) = 6 \)
- The constant term is \( 7 \)
Now, combine these results:
\[ f(-2) = 16 + 6 + 7 = 29 \]
Thus, the value of \( f(-2) \) is \( 29 \).
The correct response is:
29