Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Graph $y = |x|$ . Then on the same screen graph $y = 2 |x|$ , followed by $y = 4 |x|$ , followed by
$y = \frac{1}{2} |x|$ .What pattern do you observe? Can you predict the graph of $y = \frac{1}{4} |x|$ ? of $y = 5 |x|$
?

Graph of functions are

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. given data

The given functions are

$y = |x| y = 2 |x| y = 4 |x| y = \frac{1}{2} |x| y = \frac{1}{4} |x| y = 5 |x|$

Step 2. graph of the parent function

Plot the graph of the function $y = | x |$

Step 3. graph of the transformed function

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

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

Step 4. graph of the transformed function

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

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

Step 5. graph of the transformed function

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

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

Step 6. graph of the transformed function

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

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

Step 7. graph of the transformed function

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

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

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Graph $y = |x|$ . Then on the same screen graph $y = 2 |x|$ , followed by $y = 4 |x|$ , followed by
$y = \frac{1}{2} |x|$ .What pattern do you observe? Can you predict the graph of $y = \frac{1}{4} |x|$ ? of $y = 5 |x|$
?

Step by Step Solution

Step 1. given data

Step 2. graph of the parent function

Step 3. graph of the transformed function

Step 4. graph of the transformed function

Step 5. graph of the transformed function

Step 6. graph of the transformed function

Step 7. graph of the transformed function

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Graph y=x . Then on the same screen graph y=2x, followed by y=4x, followed by y=12x.What pattern do you observe? Can you predict the graph ofy=14x? of y=5x?

Step by Step Solution

Step 1. given data

Step 2. graph of the parent function

Step 3. graph of the transformed function

Step 4. graph of the transformed function

Step 5. graph of the transformed function

Step 6. graph of the transformed function

Step 7. graph of the transformed function

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Graph $y = |x|$ . Then on the same screen graph $y = 2 |x|$ , followed by $y = 4 |x|$ , followed by
$y = \frac{1}{2} |x|$ .What pattern do you observe? Can you predict the graph of $y = \frac{1}{4} |x|$ ? of $y = 5 |x|$
?