Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.2 - Graphs of Functions - 2.2 Exercises - Page 169: 72

Answer

$(a)$ See the Red graph in the image below. $(b)$ See the Blue graph in the image below. $(c)$ Multiplying by $c$ means to shrink the original graph by a factor of $c$. Division by $c$ (or multiply by a number less than $1$) means to stretch the original graph by a factor of $c$. If we multiply or divide by negative number, we first apply reflection about $x$-axis and then the steps mentioned above.

Work Step by Step

We have a general form $x^2$ when $c=1$, that is the Black graph on the image above. $(a)$ See the Red graph in the image above. $(b)$ See the Blue graph in the image above. $(c)$ Multiplying by $c$ means to shrink the original graph by a factor of $c$. Division by $c$ (or multiply by a number less than $1$) means to stretch the original graph by a factor of $c$. If we multiply or divide by negative number, we first apply reflection about $x$-axis and then the steps mentioned above.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.