High School

Evaluate \( f(-6) \) for \( f(x) = -4x^2 - 8x + 3 \).

A. \( f(-6) = 105 \)
B. \( f(-6) = 99 \)
C. \( f(-6) = 87 \)
D. \( f(-6) = 69 \)

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:

  1. -4(-6)² = -4(36) = -144
  2. -8(-6) = 48
  3. f(-6) = -144 - 48 + 3
  4. f(-6) = -192 + 3
  5. f(-6) = -189

Therefore, the correct answer is f(-6) = -189, which corresponds to option d.

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