Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

In Problems 7–18, match each graph to one of the following functions:
$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$

The given graph is matched to the function $L . y = - 2 |x| .$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

There is the given graph we have to match each graph to its functions.

Step 2. Identifying the function of the graph

When the right side of the function $y = f (x)$ is multiplied by $- 1$ the graph of the new function $y = - f (x)$ is the reflection about the x-axis of the graph of the function $y = f (x)$ .

Thus, the function whose graph is the reflection of the graph of $y = |x|$ in the x-axis is $y = - |x| .$

The given graph is a reflection in the x-axis of the graph of the function $y = |x|$ but it is vertically stretched by a factor of $2 .$

Step 3. Stating the function of the graph

When the right side of a function $y = f (x)$ is multiplied by a positive number a, the graph of the new function $y = a f (x)$ is obtained by multiplying each y-coordinate on the graph of $y = f (x)$ by a. The new graph is a vertically stretched $(i f a > 1)$ version of the graph of $y = f (x) .$

Since the graph is vertically stretched by factor of $2 .$

The function of the given graph is $y = - 2 |x|$ that matched to option L.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In Problems 7–18, match each graph to one of the following functions:
$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$

Step by Step Solution

Step 1. Given Information

Step 2. Identifying the function of the graph

Step 3. Stating the function of the graph

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Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In Problems 7–18, match each graph to one of the following functions:A. y = x2+ 2 B. y = -x2 + 2 C. y = x + 2 D. y = -x+ 2 E. y = (x - 2)2 F. y = -(x + 2)2 G. y = x-2 H. y = -x+2 I. y = 2x2J. y = -2x2 K. y = 2x L. y = -2x

Step by Step Solution

Step 1. Given Information

Step 2. Identifying the function of the graph

Step 3. Stating the function of the graph

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In Problems 7–18, match each graph to one of the following functions:
$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$