Final answer:
To evaluate the function f(x) = -3x² - 3x at x = -6, you substitute -6 in place of x and simplify the expression to get f(-6) = -90.
Step-by-step explanation:
To evaluate the quadratic function f(x) = -3x² - 3x at x = -6, you substitute -6 for x in the function:
f(-6) = -3(-6)² - 3(-6)
First, calculate the square of -6:
(-6)² = 36
Then, substitute this value into the equation:
f(-6) = -3(36) - 3(-6) = -108 + 18 = -90
Therefore, f(-6) is -90.