Final answer:
The equation y = 20(x + 2)³ + 1 represents a cubic function translated two units to the left, stretched vertically by a factor of 20, and shifted upward by one unit.
Step-by-step explanation:
The equation given is:
y = 20(x + 2)³ + 1
In this equation, the term (x + 2)³ represents the shift of the graph to the left by 2 units, since the cube of (x + 2) will always be positive. The coefficient of 20 determines the stretch or compression of the graph vertically. The +1 at the end represents a vertical shift of the graph upward by 1 unit. Therefore, this equation represents a cubic function translated two units to the left, stretched vertically by a factor of 20, and shifted upward by one unit.