Answer:
One difference between the graph of y = nx^2 and y = nx^3 is that the graph of y = nx^3 is steeper than the graph of y = nx^2 near the origin. This is because the power of x is one greater in the equation y = nx^3 than it is in the equation y = nx^2, which means that the rate of change of y with respect to x is increasing more rapidly in the former. As a result, the curve of y = nx^3 will be more curved and will have a steeper slope at the origin than the curve of y = nx^2.
Another difference is that the graph of y = nx^3 will have both positive and negative values for x and y, whereas the graph of y = nx^2 will only have positive values of y for positive values of x. This is because the exponent of x in y = nx^3 is odd, which means that the graph will pass through the origin and change signs as it crosses the x-axis. On the other hand, the exponent of x in y = nx^2 is even, so the graph will only have positive values for y when x is positive.
Explanation: