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# Quadratics

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

Parabola | The graph of a quadratic function |

Quadratic Equations | Quadratic functions that are set equal to a value |

Roots | The solutions of a quadratic equation |

Zeros | The x-intercepts of the graph of a function; the points for which f(x)=0 |

Imaginary Unit | i, or the principle square root of -1 |

Complex Number | A number that can be written in the form a + bi, where a and b are real numbers and i is the imaginary unit |

Complex Conjugates | Two complex numbers of the form a + bi and a - bi |

Discriminant | In the Quadratic Formula, the expression b^2 – 4ac |

Quadratic Function | A function described by the equation f(x)=ax^2 + bx + c, where a does not equal zero |

Quadratic Term | In the equation f(x)=ax^2 + bx + c, ax^2 is the quadratic term |

Linear Term | In the equation f(x)=ax^2 + bx + c, bx is the linear term |

Constant Term | In the equation f(x)=ax^2 + bx + c, c is the constant term |

Axis of Symmetry | A line about which figure is symmetric |

Vertex | The point at which the axis of symmetry intersects a parabola |

Maximum Value | The y-coordinate of the vertex of the quadratic function f(x)=ax^2 + bx + c, where a < 0 |

Minimum Value | The y-coordinate of the vertex of the quadratic function f(x)=ax^2 + bx + c, where a > 0 |

Factored Form | The form of a polynomial showing all of its factors. y = a(x - p)(x - q) is the factored form of a quadratic function |

FOIL method | The product of two binomials is the sum of the products of F for the first terms, O for the outer terms, I for the inner terms, and L for the last terms |

Completing the Square | A process used to make a quadratic expression into a perfect square trinomial |

Quadratic Formula | The solutions of a quadratic equation of the form ax^2 + bx + c, where a does not equal 0, are given by the Quadratic Formula, which is: -b +- √b^2-4(a)(c) -------------------------------- 2(a) |

Created by:
dhruvipatel