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# HC Basic Functions

### Basic Functions

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

function | vertical line test |

inverse | horizontal line test |

domain | x values |

range | y values |

x-intercept | let y = 0 |

y-intercept | let x = 0 |

y = f(x - h) | shift to the right by h units |

y = f(x + h) | shift to the left by h units |

y = f(x) - k | shift downward by k units |

y = f(x) + k | shift upward by k units |

y = -f(x) | reflect across x-axis |

y = f(-x) | reflect across y-axis |

tan(x) | sin(x)/cos(x) |

cot(x) | 1/tan(x) = cos(x)/sin(x) |

csc(x) | 1/sin(x) |

sec(x) | 1/cos(x) |

sin^2(x) + cos^2(x) | 1 |

sin^2(x) + cos^2(x) = 1 | divide by cos^2(x) to get another identity and divide by sin^2(x) to get another identity |

Created by:
mbonneau