Step: 1

The equation y = - ( x - 1 ) + 2 represents reflection across x axis, translation of 1 unit right and 2 units up from the graph of parent function y = ( x ) shown by the graph

Step: 2

Among the given graphs, graph 2 gives the above description.

Correct Answer is : Graph 2

Step: 1

Step: 2

Draw y = x .

Step: 3

Make a table of values:

Step: 4

Graph these points.

Step: 5

The graph of y = x - 2 is obtained by shifting the graph of y = x vertically **down** by 2 units.

Step: 6

So, graph 3 represents the square root function y = x - 2.

Correct Answer is : Graph 3

Step: 1

Step: 2

Let's first draw y = -x .

Step: 3

Make a table of values:

Step: 4

Graph these points.

Step: 5

The graph of y = -x - 5 is obtained by shifting the graph of y = -x to the **right** horizontally by 5 units.

Step: 6

So, graph 3 represents the square root function y = - x - 5 .

Correct Answer is : Graph 3

Step: 1

[write the function.]

Step: 2

2 | 4 | 6 | 8 | |

- 1 | -1.82 | -2.46 | -3 |

[Make a table of values.]

Step: 3

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

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

Correct Answer is : Graph 1

Step: 1

[Write the function.]

Step: 2

4 | 8 | 12 | 16 | |

- 1.46 | -2.90 | -4 | - 4.93 |

[Make a table of values.]

Step: 3

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

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

Correct Answer is : Graph 2

Step: 1

[Write the function.]

Step: 2

6 | 12 | 18 | 24 | |

1 | -0.16 | -1 | - 1.69 |

[Make a table of values.]

Step: 3

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

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

Correct Answer is : Graph 3

Step: 1

[Write the function.]

Step: 2

0 | 1 | 4 | |

0 | -1 | -2 |

[Make a table of values to draw the graph of y = - x .]

Step: 3

The graph of y = - x is as shown.

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

Step: 4

The graph of y = - x - 4 is obtained by shifting the graph of y = - x to the right horizontally by 4 units.

Step: 5

So, graph 2 represents the square root function y = - x - 4 .

Correct Answer is : Graph 2

Step: 1

[Write the function.]

Step: 2

1 | 4 | 9 | |

1 | 2 | 3 |

[Make a table of values to draw the graph of y = x .]

Step: 3

The graph of y = x is as shown.

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

Step: 4

The graph of y = x + 6 is obtained by shifting the graph of y = x vertically upwards by 6 units.

Step: 5

So, Graph 4 represents the square root function y = x + 6.

Correct Answer is : Graph 4

Step: 1

[Write the function.]

Step: 2

6 | 12 | 18 | 24 | |

4 | 2.84 | 2 | 1.31 |

[Make a table of values.]

Step: 3

The graph of y = 6 - x - 2 is as shown.

[Plot points from the table of values of y = 6 - x - 2 and join them with a smooth curve.]

Correct Answer is : Graph 2

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