# 10.1: Quadratic Functions and Their Graphs

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**Basic**Created by: CK-12
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Color | Highlighted Text | Notes | |
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Term | Definition |
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-intercept of a parabola |
As with linear equations, the of a parabola are where the graph intersects the -axis. The -value is zero at the -intercepts.-intercepts |

leading coefficient of a parabola |
The variable in the equation is called the of the quadratic equation.leading coefficient |

minimums and maximums of a parabola |
An equation of the form forms a parabola.
If is positive, the parabola will open The vertex will be a upward.
If is negative, the parabola will open minimum. The vertex will be a downward.maximum. |

symmetry of a parabola |
A parabola can be divided in half by a vertical line. Because of this, parabolas have . The vertical line dividing the parabola into two equal portions is called the line of symmetry.symmetry |

vertex of a parabola |
All parabolas have a , the ordered pair that represents the bottom (or the top) of the curve. The line of symmetry always goes through the vertex. The vertex is the ordered pair .vertex of a parabola |

Coefficient |
A coefficient is the number in front of a variable. |

Dilation |
To reduce or enlarge a figure according to a scale factor is a dilation. |

domain |
The domain of a function is the set of -values for which the function is defined. |

Horizontal shift |
A horizontal shift is the result of adding a constant term to the function inside the parentheses. A positive term results in a shift to the left and a negative term in a shift to the right. |

Parabola |
A parabola is the characteristic shape of a quadratic function graph, resembling a "U". |

quadratic function |
A quadratic function is a function that can be written in the form , where , , and are real constants and . |

standard form |
The standard form of a quadratic function is . |

Symmetry |
A figure has symmetry if it can be transformed and still look the same. |

Vertex |
The vertex of a parabola is the highest or lowest point on the graph of a parabola. The vertex is the maximum point of a parabola that opens downward and the minimum point of a parabola that opens upward. |

vertical axis |
The vertical axis is also referred to as the -axis of a coordinate graph. By convention, we graph the output variable on the -axis. |

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Description

Learn the anatomy of the graph of a quadratic function.

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Difficulty Level:

Basic
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Date Created:

Feb 24, 2012
Last Modified:

Aug 08, 2016
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