Describe the transformations applied to the graph of f(x) = x³ to obtain the graph of g(x) = -(x + 1)³ + 2.

The correct answer to the question "Describe the transformations applied to the graph of f(x) = x³ to obtain the graph of g(x) = -(x + 1)³ + 2." is Option A: Shift left 1, shift up 2, reflect across the x-axis..

The other options — B) Shift right 1, shift up 2, reflect across the x-axis., C) Shift left 1, shift down 2, reflect across the y-axis., D) Shift right 1, shift down 2, reflect across the y-axis. — are incorrect for this CLEP Exam Prep question. As explained above: The `+1` inside the parenthesis shifts the graph left by 1 unit. The `+2` outside shifts it up by 2 units. The negative sign in front reflects the graph across the x-axis.