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# Quadratics

### Vocabulary for Algebra I - Quadratic Functions and Equations

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

Quadratic Equation (p. 544) | An equation in two variables that can be written in the form y = ax^2 + bx + c |

Parabola (p. 545) | The curve formed when you graph a quadratic function |

Minimum Value (p. 546) | The least possible y-value for a function |

Maximum Value (p. 546) | The greatest possible y-value for a function |

Vertex (p. 546) | The ordered pair that is the highest or lowest point on a parabola |

Zero of a Function (p. 553) | An x-value that makes the function equal to 0. It is the same as the x-intercept. |

Axis of Symmetry (p. 554) | A vertical line that passes through the vertex and divides a parabola into two symmetrical halves. |

6 Steps for Graphing a Quadratic Function (p. 561) | 1) Find the Axis of Symmetry 2) Find the vertex 3) Identify the y-intercept 4) Find two more points by plugging in x values to the equation 5) Graph what you found in steps 1-4 6) Reflect the points from step 4 to fill out your parabolic shape |

Root of a Polynomial (p. 569) | Another name for the Zero of a Function |

Completing the Square (p. 591) | A process where you can "make" a quadratic into a perfect square trinomial for the purpose of solving the equation |

5 Methods of Solving a Quadratic Equation (p.601) | 1) Graphing 2) Factoring 3) Using Square Roots 4) Completing the Square 5) Using the Quadratic Formula |