Step: 1

[Write the function.]

Step: 2

- 5 | - 4 | - 3 | - 2 | - 1 | |

2 | 1 | 0 | 1 | 2 |

[Make a table of values]

Step: 3

The graph of y = |x + 3| is as shown.

[Plot the points from the table of values of y = |x + 3| and join them with a smooth curve.]

Step: 4

Therefore, graph 1 represents the given function.

Correct Answer is : Graph 1

Step: 1

[Write the function.]

Step: 2

[Make a table of values.]

Step: 3

The graph of y = - |2x | - 1 is as shown.

[Plot the points from the table of values of y = - |2x | - 1 and join them with a smooth curve.]

Step: 4

Therefore, graph 2 represents the given function.

Correct Answer is : Graph 2

Step: 1

[Write the function.]

Step: 2

- 2 | - 1 | 0 | 1 | 2 | |

- 3 | -1 | 1 | -1 | - 3 |

[Make a table of values.]

Step: 3

The graph of y = - |2x | + 1 is as shown.

[Plot the points from the table of values of y = - |2x | + 1 and join them with a smooth curve.]

Step: 4

Therefore, graph 3 represents the given function.

Correct Answer is : Graph 3

Step: 1

[Write the function.]

Step: 2

- 2 | - 1 | 0 | 1 | 2 | |

- 5 | -2 | 1 | -2 | - 5 |

[Make a tableof values.]

Step: 3

The graph of y = - 3|x | + 1 is as shown.

[Plot the points from the table of values of y = - 3|x | + 1 and join them with a smooth curve.]

Step: 4

Therefore, graph 4 represents the given function.

Correct Answer is : Graph 4

Step: 1

[Write the function.]

Step: 2

- 6 | - 5 | - 4 | - 3 | - 2 | -1 | 0 | |

1 | 0 | -1 | -2 | - 1 | 0 | 1 |

[Make a table of values.]

Step: 3

The graph of y = |x + 3| - 2 is as shown.

[Plot the points from the table of values of y = |x + 3| - 2 and join them with a smooth curve.]

Step: 4

Therefore, graph 1 represents the given function.

Correct Answer is : Graph 1

Step: 1

[Write the function.]

Step: 2

-1 | 0 | 1 | 2 | 3 | 4 | |

5 | 3 | 1 | 1 | 3 | 5 |

[Make a table of values.]

Step: 3

The graph of y = |2x - 3| is as shown.

[Plot the points from the table of values of y = |2x - 3| and join them with a smooth curve.]

Step: 4

Therefore, graph 2 represents the given function.

Correct Answer is : Graph 2

Step: 1

[Write the function.]

Step: 2

-2 | -1 | 0 | 1 | 2 | |

^{3}| | -8 | -1 | 0 | -1 | -8 |

[Make a table of values.]

Step: 3

The graph of y = - |x ^{3}| is as shown.

[Plot the points from the table of values of y = - |x ^{3}| and join them with a smooth curve.]

Step: 4

Therefore, graph 3 represents the given function.

Correct Answer is : Graph 3

Step: 1

[Write the function.]

Step: 2

-3 | -2 | -1 | 0 | 1 | 2 | 3 | |

3 | 1 | -1 | -3 | -1 | 1 | 3 |

[Make a table of values.]

Step: 3

The graph of y = 2|x | - 3 is as shown.

[Plot the points from the table of values of y = 2|x | - 3 and join them with a smooth curve.]

Step: 4

Therefore, graph 4 represents the given function.

Correct Answer is : Graph 4

Step: 1

[Write the function.]

Step: 2

0 | 1 | 2 | 3 | 4 | 5 | 6 | |

2 | 1 | 0 | -1 | 0 | 1 | 2 |

[Make a table of values.]

Step: 3

The graph of y = |x - 3| - 1 is as shown.

[Plot the points from the table of values of y = |x - 3| - 1 and join them with a smooth curve.]

Step: 4

Therefore, graph 3 represents the given function.

Correct Answer is : Graph 3

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