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# Quad Functions

### Quad Functions - Algebra 2, Chapter 9 Review

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

What is the Axis of Symmetry formula (also used to find x value of vertex)? | x= -b/2a |

What is the 1st step to solve by SQUARE ROOTS? | ISOLATE the x2 term |

What is the 1st step to solve by FACTORING? | Set equation equal to 0. |

√(-25) | No Solution |

What is the best method for x^2 + 5x = -6 ? | BUM (factoring)(Hint: Trinomial) |

What is the best method for X^2 = 10x ? | GCF (factoring) (Hint: Binomial) |

What is the best method for x^2 – 10x + 20 = 0? | Quadratic Formula |

What method do you use for x^2 – 9 = 0? | Square Roots |

Describe the parabola and name the Vertex & Axis of symmetry of y = 2x^2 – 6. | Opens up Vertex: (0, -6) / Min. Axis of Symmetry: x = 0 |

Describe the parabola and name the Vertex & Axis of symmetry of y = -9x^2. | Opens down Vertex: (0, 0) / Max. Axis of Symmetry: x = 0 |

Describe the parabola and name the Vertex & Axis of symmetry of y = -9x2+ 1. | Opens down Vertex: (0, 1) / Max. Axis of Symmetry: x = 0 |

How many solutions if the discriminant is >0? | 2solutions |

How many solutions if the discriminant is <0? | No solution |

What is the best method for: A football player punts a ball that can be modeled by the equation y = -0.004x^2 + x + 2.5 where x is the horizontal distance, in feet, and y is the height. How far from the punter will the ball land? | Quadratic Formula (answer will be positive value). |

After finding the x-value of the vertex, how do you choose more points? | Add and subtract the same # (ex. +1 and -1) |

What is the 1st step to solve using the QUADRATIC FORMULA? | Set equation equal to 0. |

How many solutions if the discriminant =0? | 1solution |

What is the best method for 6x^2 – 18 = 0? | Square Roots |

What is the best method for 3x^2 – 18x + 67 = 0? | Quadratic Formula |

What is the best method for x^2 – 11x + 18 = 0? | BUM Factoring |

What is the best method for x^2 + 18 = 0? | Square Roots |

What is the best method for x^2 + 14x = 0? | GCF Factoring |

What is the best method for: A child throws a ball into the air with an initial velocity (v) of 15 feet/second from an initial height (c) of 2 feet. Find the maximum height of the ball. | Find the vertex. (Answer will be y-value). |

How do find the solutions to x^2 + 6x = 0? | Find the GCF, then set each factor equal to 0. |

How do find the solutions to (x+3)(x-2) = 0? | Set each factor equal to 0. |

After finding the x-value of the vertex, how do you find the y-values? | Substitute the x-values into the equation. |