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# Chapter 6: Quadratic

### Quadradic Functions

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

Ex of a quadratic expression | ax^2+bx+c |

Ex of a quadratic equation | ax^2+bx+c=0 |

Quadratic function | f:x yields ax^2+bx+c |

Binonmial square thereom | For all real numbers x and y (x+y)^2=x^+2xy+y^2 (x-y)^2=x^2+2xy+y^2 |

Corollary | The image of the parabola y=ax^2 under the translation th,k is the parabola with the equation y-k=a(x-h)^2 |

Fun fact | Any parabola whose equation can be written in vertex form y-k=a(x-h)^2 can be wrriten in the standard form y=ax^2+bx+c |

Definition | When k>0 , the two solutions to x^2 are denoted square root -k and -square root -k |

What is a postulate? | A complex number is a number of the form a+bi, where a and b are real numbers and i=the square root of -1; a is called the real part and b i called the imaginary part. |

Created by:
kmalone30