Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# Quadratics

Term | Definition |
---|---|

quadratic function | a second degree polynomial function where a, b, and c are real numbers |

axis of symmetry | line through the graph of a parabola that divides the graph into two congruent halves |

vertex | the axis of symmetry will intersect a parabola at this point |

maximum/minimum value | the y-coordinate of the vertex of a quadratic function |

quadratic equations | quadratic functions that are set equal to a value |

roots | solutions of a quadratic equation |

FOIL method | stands for: first, inner, outer, last. Uses the distributive property to multiply binomials. |

pure imaginary numbers | square roots of negative real numbers |

completing the square | manipulating the equation until one side is a perfect square, then solving using the square root property |

quadratic formula | a formula that can solve any quadratic equation. this formula can be derived by solving the standard form of a quadratic equation. |

discriminant | the part of the quadratic formula that is under the square root sign |

quadratic term | the "ax^2" in a quadratic funtion |

linear term | the "bx" in a quadratic function |

constant term | the "c" in a quadratic function |

parabola | the graph of a quadratic function |

zeros | the x-intercepts of a parabola. |

factored form | 0= a(x - p)(x - q) |

imaginary unit i | defined to be "i^2 = -1". |

complex number | when a real number and an imaginary number cannot be combined so the equation is left alone. example: 2+4i |

complex conjugates | two complex numbers of the form of a + bi and a - bi. the product of this is always a real number |

Created by:
sethweir