Given the points A(2, -3) and B (4, 0), graph in each of ...



Translations, Reflections, and Rotations

Given the points A(3, 4) and B (-2, 0), graph [pic]in each of the following graphs. Perform the transformation indicated above each graph and answer the questions that follow.

1. Reflect across the y axis. 2. Rotate 270 degrees.

[pic] [pic]

3. Translate 3 up and 4 left. 4. Rotate 180 degrees.

[pic] [pic]

|Write the equation of [pic] here: |Reflect across y axis |Translate 3 up and 4 |Rotate 270 degrees |Rotate 180 degrees |

| | |left | | |

|Equation of [pic] after the | | | | |

|transformation. | | | | |

|Slope of [pic] | | | | |

|How do the slopes of [pic] and | | | | |

|[pic]compare? | | | | |

|Y intercept of [pic] | | | | |

|How do the | | | | |

|y-intercepts of [pic] and | | | | |

|[pic]compare? | | | | |

Given the points A(-2, -3) and B (2, 5), graph [pic]in each of the following graphs. Perform the transformation indicated above each graph and answer the questions that follow.

5. Reflect across y = -x. 6. Rotate 270 degrees.

[pic] [pic]

7. Translate 2 down and 6 right. 8. Rotate 90 degrees.

[pic] [pic]

|Write the equation of [pic] here: |Reflect across y = -x |Translate 2 down and 6 |Rotate 270 degrees |Rotate 90 degrees |

| | |right | | |

|Equation of [pic] after the | | | | |

|transformation. | | | | |

|Slope of [pic] | | | | |

|How do the slopes of [pic] and | | | | |

|[pic]compare? | | | | |

|Y intercept of [pic] | | | | |

|How do the | | | | |

|y-intercepts of [pic] and | | | | |

|[pic]compare? | | | | |

9. On graph paper graph the following:

Graph points A and B above. Label them.

Connect them to make a line and label it

a. Reflect over y = -3. b. Reflect over x = -5. c. Reflect over y = x.

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[pic].

[pic]

[pic]

[pic]

A( , )

A’ ( , )

B( , )

B’ ( , )

RULE:

A( , )

A’ ( , )

B( , )

B’ ( , )

RULE:

A( , )

A’ ( , )

B( , )

B’ ( , )

RULE:

A( , )

A’ ( , )

B( , )

B’ ( , )

RULE:

A( , )

A’ ( , )

B( , )

B’ ( , )

RULE:

A( , )

A’ ( , )

B( , )

B’ ( , )

RULE:

A( , )

A’ ( , )

B( , )

B’ ( , )

RULE:

A( , )

A’ ( , )

B( , )

B’ ( , )

RULE:

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