Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 4 - An Introduction to Functions - 4-4 Graphing a Function Rule - Practice and Problem-Solving Exercises - Page 258: 28

Answer

The graph of $y=x^3$ is graphed below and to graph the function $y=3x^3$ we stretch the graph vertically by a factor of three. For each x-value, we multiply each y-value times 3. So for example, the point (1,1) of function $y=x^3$ becomes (1,3) for the function $y=3x^3$ as the y-value is 3 times.

Work Step by Step

The graph of $y=x^3$ is graphed below and to graph the function $y=3x^3$ we stretch the graph vertically by a factor of three. For each x-value, we multiply each y-value times 3. So for example, the point (1,1) of function $y=x^3$ becomes (1,3) for the function $y=3x^3$ as the y-value is 3 times.
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