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 $C . y = |x| + 2 .$

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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 of the function $y = |x|$ but it is shifted vertically up by $2$ units.

If a positive real number k is added to the outputs of a function $y = f (x),$ the graph of the new function $y = f (x) + k$ is the graph of f shifted vertically up k units.

Thus, the function of the graph is $y = |x| + 2$ that matched to option C.

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Precalculus Enhanced with Graphing Utilities

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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:
$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$