Answer :
Final answer:
To evaluate f(-6) for f(x) = -4x² - 8x + 3, substitute -6 for x in the equation and simplify using the order of operations. The correct answer is f(-6) = -189.
Explanation:
To evaluate f(-6) for f(x) = -4x² - 8x + 3, we substitute -6 for x in the equation:
f(-6) = -4(-6)² - 8(-6) + 3
Now, we simplify using the order of operations:
- -4(-6)² = -4(36) = -144
- -8(-6) = 48
- f(-6) = -144 - 48 + 3
- f(-6) = -192 + 3
- f(-6) = -189
Therefore, the correct answer is f(-6) = -189, which corresponds to option d.
