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# Ch. 5

### Quadratic Functions

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

a^2-b^2 | (a+b)(a-b) |

a^2+2ab+b^2 | (a+b)^2 OR (a+b)(a+b) |

a^2-2ab+b^2 | (a-b)^2 OR (a-b)(a-b) |

Factor: x^2-16x | x(x-4) |

Factor: x^2+18x+75 | (x+13)(x+5) |

Factor: x^2-7+12 | (x-3)(x-4) |

Factor: 7x^2-11x-6 | (7x+3)(x-2) |

What is the zero product property? | If pq=0, then p=0 or q=0 |

Find the zeros of: x^2-16 | x = 4 and x= -4 |

Find the zeros of: 7x^2-11x-6 | x = -3/7 and x = 2 |

Complete the square and factor: ax^2+bx | ax^2+bx+(b/2)^2 = (x+(b/2))^2 |

Vertex form of f(x) = ax^2+bx+c | f(x) = a(x-h)^2 + h, where (h, k) is the vertex |

What is the axis of symmetry of f(x) = a(x-h)^2 + k | x = h |

Created by:
dailey.lisa