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 $K . y = 2 |x| .$

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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

The given graph is similar to the function of the graph $y = |x|$ but it is vertically stretched by a factor of $2$ .

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 given graph is vertically stretched by factor of $2 .$

The function of the given graph is role="math" localid="1645865928495" $y = 2 |x|$ that matched to option K.

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Short Answer

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

Step by Step Solution

Step 1. Given Information

Step 2. Identifying the function of the graph

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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 = 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

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