Given the function f(x) = −3x3 + 9x2 − 2x + 3, what part of the function indicates that the left end starts at the top of the graph?

When looking at cube functions, the coefficient of the cubed term determines the directions of the graph. In the parent cube function y=x³, the graph increases from left to right, the left end starts on bottom and the coefficient of the cube term is positive. In this case the cubed term is negative, meaning the graph is decreasing from left to right and it starts on the top from the left. So, the answer is the the coefficient of the the cubed term indicates that the left end starts at the top of the graph.