Explanation

To find |f(1)|, we need to evaluate the function f(x) = -3(x^2) - 2(x) + 1 at x = 1.

f(1) = -3(1^2) - 2(1) + 1

= -3(1) - 2(1) + 1

= -3 - 2 + 1

= -4

Now, we need to find the absolute value of f(1):

|f(1)| = |-4| = 4