StudySmarter AI is coming soon!

- :00Days
- :00Hours
- :00Mins
- 00Seconds

A new era for learning is coming soonSign up for free

Suggested languages for you:

Americas

Europe

Q. 62

Expert-verifiedFound in: Page 103

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

Graph $y=\left|x\right|$ . Then on the same screen graph $y=2\left|x\right|$, followed by $y=4\left|x\right|$, followed by

$y=\frac{1}{2}\left|x\right|$.What pattern do you observe? Can you predict the graph of$y=\frac{1}{4}\left|x\right|$? of $y=5\left|x\right|$?

Graph of functions are

The given functions are

$y=\left|x\right|\phantom{\rule{0ex}{0ex}}y=2\left|x\right|\phantom{\rule{0ex}{0ex}}y=4\left|x\right|\phantom{\rule{0ex}{0ex}}y=\frac{1}{2}\left|x\right|\phantom{\rule{0ex}{0ex}}y=\frac{1}{4}\left|x\right|\phantom{\rule{0ex}{0ex}}y=5\left|x\right|$

Plot the graph of the function $y=\left|x\right|$

Plot the graph of the function $y=2\left|x\right|$ on the same Cartesian plane

graph of $y=2\left|x\right|$ is equivalent to the vertically stretched graph of $y=\left|x\right|$ by the factor $2$

Plot the graph of the function $y=4\left|x\right|$on the same Cartesian plane

graph of $y=4\left|x\right|$ is equivalent to the vertically stretched graph of $y=\left|x\right|$ by the factor $4$

Plot the graph of the function$y=\frac{1}{2}\left|x\right|$on the same Cartesian plane

graph of $y=\frac{1}{2}\left|x\right|$ is equivalent to the vertically compressed graph of$y=\left|x\right|$ by the factor$\frac{1}{2}$

Plot the graph of the function$y=\frac{1}{4}\left|x\right|$ on the same Cartesian plane

graph of $y=\frac{1}{4}\left|x\right|$ is equivalent to the vertically compressed graph of$y=\left|x\right|$ by the factor$\frac{1}{4}$

Plot the graph of the function$y=5\left|x\right|$ on the same Cartesian plane

graph of $y=5\left|x\right|$ is equivalent to the vertically stretched graph of $y=\left|x\right|$ by the factor $5$

94% of StudySmarter users get better grades.

Sign up for free