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# MATHYy

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

Domain | x variables. D={x|x...,x E R} |

Range | y variables. R={y|y...,y E R} |

Restrictions are needed for | rational expressions |

Restrictions can be taken from | 2nd last step from the 2nd numerator and both denominators |

Radicals | have root sign and a number underneath |

Radicals, you can... | multiply numbers with the same radical |

Radicals, you can... | square root multiples out of radicals |

Fxn or not: x^2 + y^2 = 5 | no, its circle formula, it fails vertical line test |

Fxn or not: y = 5x - 7 | yes, basic parabola, U shape |

Fxn or not: -1/x + 2 | yes, reciprocal fxn, 2 pairs of curved fxn <|> |

Fxn or not: y=2/root -x + 1 unroot + 4 | yes, square root fxn, half sideways parabola, /-- |

Fxn or not: y = sinX - 3 | yes, wavy pattern |

Fxn or not: y = coxX + 8 | yes, wavy pattern |

y = af[k(x-p)] + q, what does A<0 do? | reflection in the x-axis, because X is first |

y = af[k(x-p)] + q, what does A do? | vertical stretch or compression by a factor of A |

y = af[k(x-p)] + q, what does F do? | nothing, its just there |

y = af[k(x-p)] + q, what does K<0 do? | reflection in the Y-axis, because Y is second |

y = af[k(x-p)] + q, what does K do?* | horizontal stretch or compression by a factor of 1/K |

y = af[k(x-p)] + q, what does X do? | nothing, its just there |

y = af[k(x-p)] + q, what does P do? | translate left(+), translate right(-) |

y = af[k(x-p)] + q, what does Q do? | translate up(+), translate down(-) |

What is the discriminant? | b^2 - 4ac |

b^2 - 4ac > 0 | 2 real roots because it passes x-axis completely |

b^2 - 4ac < 0 | 2 different complex roots OR no x-int |

b^2 - 4ac = 0 | only 1 real same root, 2 equal real roots |

Inverse is what? | y = x, switch the X and Y coordinates |

What is a Family in quadratics? | y = a(x+_)(x,has the A variable |

Created by:
bioger