Can a cubic function be translated vertically?

Yes, a cubic function can be translated vertically. This is achieved by adding or subtracting a constant to the function's equation. For example, if the original cubic function is ( f(x) = ax^3 + bx^2 + cx + d ), translating it vertically would result in ( f(x) + k ), where ( k ) is the amount of vertical translation. This shifts the entire graph of the function up or down without changing its shape.