## Algebra 1

Published by Prentice Hall

# Chapter 4 - An Introduction to Functions - 4-4 Graphing a Function Rule - Practice and Problem-Solving Exercises - Page 258: 31

#### Answer

Graph for 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=$-x^{3}$.

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