Answer
The graph of $y=x^3$ is graphed below and to graph the function $y=−x^3$ we need to vertically reflect the graph of $y=x^3$ (reflection over the x-axis). To graph $y=−x^3$ we multiply each y-value by -1 while keeping the x value the same. So for example, the point (1,1) of function $y=x^3$ becomes (1,-1) for the function $y=−x^3$.
Work Step by Step
The graph of $y=x^3$ is graphed below and to graph the function $y=−x^3$ we need to vertically reflect the graph of $y=x^3$ (reflection over the x-axis). To graph $y=−x^3$ we multiply each y-value by -1 while keeping the x value the same. So for example, the point (1,1) of function $y=x^3$ becomes (1,-1) for the function $y=−x^3$.
