Use the Graph Of $f ( x ) = x ^ { 3 } - 3 x ^ { 2 }$

Multiple Choice

Use the graph of $f ( x ) = x ^ { 3 } - 3 x ^ { 2 }$ to write an equation for the function $g$ .

A) The graph is shifted 2 units upward, so $g ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 2$
B) The graph is reflected in the x-axis and shifted 1 unit upward, so $g ( x ) = - x ^ { 3 } + 3 x ^ { 2 } + 1$
C) The graph is shifted 1 unit to the left,so $g ( x ) = x ^ { 3 } - 3 x - 2$
D) The graph is shifted 2 unit to the left, so $g ( x ) = - x ^ { 3 } + 3 x ^ { 2 } + 3 x + 2$
E) The graph is shifted 1 unit to the right $g ( x ) = x ^ { 3 } + 3 x + 1$