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# Function Transforms

### Students will be able to transform parent functions

Question | Answer |
---|---|

How would the graph of y = | x - 2 | be transformed from the parent function y = | x |? | The graph would be shifted two units to the right. |

How would the graph of y = | x + 3 | be transformed from the parent function y = | x |? | The graph would be shifted three units to the left. |

How would the graph of y = | 4x | be transformed from the parent function y = | x |? | The graph would be horizontally dilated by a factor of 1/4. (Also, it is said to be horizontally compressed). |

How would the graph of y = 3 | x | be transformed from the parent function y = | x |? | The graph would be vertically dilated by a factor of 3. (Also, it is said to be vertically stretched). |

How would the table of y = | x - 2 | be transformed from the parent function y = | x |? | Since it is inside the function, this affects the inputs and does it the opposite of what we'd expect. This would increase all of our x values by 2. |

How would the table of y = | x + 3 | be transformed from the parent function y = | x |? | Since it is inside the function, this affects the inputs and does it the opposite of what we'd expect. This would decrease all of our x values by 3. |

How would the table of y = | 4x | be transformed from the parent function y = | x |? | Since it is inside the function, this affects the inputs and it does the opposite of what we'd expect. This would divide all of our x values by 4. |

How would the table of y = 3 | x | be transformed from the parent function y = | x |? | Since it is outside the function, this affects the outputs. This would multiply all of our y values by 3. |

How would the graph of y = | x | + 3 be transformed from the parent function y = | x |? | The graph would be shifted three units up. |

How would the graph of y = | x | - 2 be transformed from the parent function y = | x |? | The graph would be shifted two units down. |

How would the graph of y = -3 | x | be transformed from the parent function y = | x | ? | The graph would be vertically dilated by a factor of 3. It will also be reflected across the x-axis. |

How would the graph of y = | -4x | be transformed from the parent function y = | x | ? | The graph would be horizontally dilated by a factor of 1/4. It will also be reflected across the y-axis. |

How would the table of y = | x | + 3 be transformed from the parent function y = | x |? | Since it is outside the function, this affects the outputs. This would increase all of our y values by 3. |

How would the table of y = | x | - 2 be transformed from the parent function y = | x |? | Since it is outside the function, this affects the outputs. This would decrease all of our y values by 2. |

How would the table of y = -3 | x | be transformed from the parent function y = | x | ? | Since it is outside the function, this affects the outputs. This would multiply all of our y values by -3. |

How would the table of y = | -4x | be transformed from the parent function y = | x | ? | Since it is inside the function, this affects the inputs and it does the opposite of what we'd expect. This would divide all of our x values by -4. |

Created by:
Dhiller