click below

click below

Normal Size Small Size show me how

# Absolute Value

### Terms for algebra 2 absolute value unit

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

Absolute Value of a Number | The distance the number is from zero on a number line |

Extraneous Solution | A solution found when solving an absolute value equation that isn't a true solution. (Found when testing values) |

Standard Form for an Absolute Value Function | f(x)= a|mx+b|+c |

Parent Function | The simplest form of an equation, such as: y=x or y=|x| |

Translation | Shifts (slides) the graph vertically, horizontally or both. The size and shape of the graph stays the same. |

Horizontal translation to the left | y= |x+h| |

Horizontal translation to the right | y=|x-h| |

Vertical translation up | y=|x|+k |

Vertical translation down | y=|x|-k |

Combined translation up and right | y=|x-h|+k |

Combined translation up and left | y=|x+h|+k |

Combined translation down and right | y=|x-h|-k |

Combined translation down and left | y=|x+h|-k |

Vertical Stretch of a Graph | Multiplies all the y-values by the same factor (a) that is GREATER than 1 (makes the graph "skinnier") |

Vertical Shrink of a Graph | Multiplies all the y-values by the same factor (a) that is BETWEEN 0 and 1 (makes the graph "fatter") |

Reflection of a graph | The graph "flips" vertically over the x-axis because the y-values have all been multiplied by a negative value (-a) |

Linear Inequality | An equation in two variables (x & y) whose graph is a region of the coordinate plane (shown by shading the solution region) that is bounded by the equation of the line. |

Absolute Value Inequality | An equation in two variables (x & y) whose graph is a region of the coordinate plane (shown by shading the solution region) that is bounded by the equation of the line. |