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# Quadratics

### Int. 2 Chapter 4

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

The graph of a quadratic equation is a ______ | parabola |

When a is positive, the parabola opens ____ | up |

When a is negative, the parabola opens _____ | down |

When a is positive, the vertex is a _________ | minimum |

When a is negative, the vertex is a _________ | maximum |

What is the standard equation for a parabola? | y = ax^2 + bx + c |

c is the _________ | y -intercept |

The line of symmetry always goes through the ____ | vertex |

What is the formula for the line of symmetry? | x = -b/(2a) |

To find the vertex, you... | find the line of symmetry, then plug that value into the equation. |

Quadratic equation in transformation form: | y = a(x-h)^2 + k |

Find the coordinates of the vertex: y = 3(x - 4)^2 + 1 | (4, 1) |

What method would you use to solve 4x^2 - 7 = 21 | solve by undoing |

What are the two methods used for factoring (in this class)? | double rainbow and box method |

What is the zero product property? | if ab = 0, then either a = 0 or b = 0 |

What is the quadratic formula? | x = (-b +/- sqrt(b^2 - 4ac)) / (2a) |

What is the formula for the discriminant? | b^2 - 4ac |

How many solutions are there if the discriminant is positive? | 2 real solutions |

How many solutions are there if the discriminant is zero? | 1 real solution |

How many solutions are there if the discriminant is negative? | No Real solutions |

i^2 = ______________ | -1 |

How is the graph of y = 2x^2 translated to produce the graph of y = 2(x - 5)^2 - 1 ? | Right 5 units, down 1 unit |

How do you multiply two binomials? | Use the FOIL acronym to help you remember all four products. |

How would you solve 3x^2 + 4x - 4 = 0? | Either quadratic formula or factoring |

What does it mean if the discriminant is a perfect square? | It can be factored. |

How can you study for this test? | Watch youtube videos. Re-do problems from quizzes and homework. Try a quadratics review game on the internet. |

Created by:
cp math