i) identify the effect on the graph when replacing f(x) by f(x) + k, k f(x), and f(x + k) for specific values of k (both positive and negative);

ii) find the value of k given the graphs;

iii) write a new function using the value of k; and

iv) use technology to experiment with cases and explore the effects on the graph.

Title | Description | Thumbnail Image | Curriculum Topics |
---|---|---|---|

## Closed Captioned Video: Quadratics: What Is a Quadratic Function? |
## Closed Captioned Video: Quadratics: What Is a Quadratic Function?Video Tutorial: Quadratics: What Is a Quadratic Function? In this video, students learn about the characteristics of quadratic functions by looking at data, graphs, and equations. This video works with quadratic functions in standard form. |
Graphs of Quadratic Functions, Quadratic Equations and Functions | |

## Definition--Functions and Relations Concepts--Recursive Function |
## Definition--Functions and Relations Concepts--Recursive FunctionThis is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. |
Relations and Functions | |

## Definition--Sequences and Series Concepts--Explicit Formula for a Sequence |
## Definition--Sequences and Series Concepts--Explicit Formula for a SequenceThis is part of a collection of definitions related to sequences, series, and related topics. This includes general definitions for sequences and series, as well as definitions of specific types of sequences and series, as well as their properties. |
Sequences | |

## Definition--Sequences and Series Concepts--Recursive Formula |
## Definition--Sequences and Series Concepts--Recursive FormulaThis is part of a collection of definitions related to sequences, series, and related topics. This includes general definitions for sequences and series, as well as definitions of specific types of sequences and series, as well as their properties. |
Series | |

## INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Factored Form |
## INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Factored FormThis slide show provides 8 examples of quadratic functions in factored form and analyzes their graphs. |
Quadratic Equations and Functions | |

## INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Standard Form |
## INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Standard FormThis slide show provides 18 examples of quadratic functions in standard form and analyzes their graphs. |
Quadratic Equations and Functions | |

## INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Vertex Form |
## INSTRUCTIONAL RESOURCE: Tutorial: Analyzing Graphs of Quadratic Functions in Vertex FormThis slide show provides 8 examples of quadratic functions in vertex form and analyzes their graphs. |
Quadratic Equations and Functions | |

## INSTRUCTIONAL RESOURCE: Desmos Tutorial: Linear Functions in Slope Intercept Form |
## INSTRUCTIONAL RESOURCE: Desmos Tutorial: Linear Functions in Slope Intercept FormIn this Slide Show, use the Desmos graphing calculator to explore linear equations in slope intercept form. To see the complete collection of Desmos Resources click on this link. |
Graphs of Linear Functions, Slope-Intercept Form | |

## INSTRUCTIONAL RESOURCE: Desmos Tutorial: Quadratic Functions in Standard Form |
## INSTRUCTIONAL RESOURCE: Desmos Tutorial: Quadratic Functions in Standard FormIn this Slide Show, use the Desmos graphing calculator to explore quadratic functions in standard form. To see the complete collection of Desmos Resources click on this link. |
Graphs of Quadratic Functions | |

## INSTRUCTIONAL RESOURCE: Tutorial: Evaluating Functions |
## INSTRUCTIONAL RESOURCE: Tutorial: Evaluating FunctionsIn this Slide Show, learn what it means to evaluate a function. |
Applications of Functions and Relations, Relations and Functions | |

## INSTRUCTIONAL RESOURCE: Tutorial: Graphing Linear Functions |
## INSTRUCTIONAL RESOURCE: Tutorial: Graphing Linear FunctionsIn this Slide Show, learn about graphs of linear functions. |
Applications of Linear Functions | |

## INSTRUCTIONAL RESOURCE: Tutorial: The Structure of a Linear Function |
## INSTRUCTIONAL RESOURCE: Tutorial: The Structure of a Linear FunctionThis slide show shows the structure of a linear function. In particular, the slide show focuses on: How the parameters of a linear function affect its graph; analyzing a linear function based on its parameters. |
Slope-Intercept Form | |

## INSTRUCTIONAL RESOURCE: Tutorial: The Structure of a Quadratic Function |
## INSTRUCTIONAL RESOURCE: Tutorial: The Structure of a Quadratic FunctionThis slide show shows the structure of a quadratic function. In particular, the slide show focuses on: How the parameters of a quadratic function affect its graph; analyzing a quadratic function based on its parameters. |
Quadratic Equations and Functions | |

## INSTRUCTIONAL RESOURCE: Tutorial: What Are the Domain and Range? |
## INSTRUCTIONAL RESOURCE: Tutorial: What Are the Domain and Range?In this Slide Show, learn about domain and range. |
Applications of Functions and Relations, Relations and Functions | |

## INSTRUCTIONAL RESOURCE: Tutorial: What Is a Composite Function? |
## INSTRUCTIONAL RESOURCE: Tutorial: What Is a Composite Function? |
Composite Functions | |

## INSTRUCTIONAL RESOURCE: Tutorial: What Is a Function? |
## INSTRUCTIONAL RESOURCE: Tutorial: What Is a Function?In this Slide Show, learn what a function is. |
Applications of Functions and Relations, Relations and Functions | |

## INSTRUCTIONAL RESOURCE: Tutorial: What Is a Quadratic Function? |
## INSTRUCTIONAL RESOURCE: Tutorial: What Is a Quadratic Function?This slide show covers the basics of quadratic functions. Specifically, it covers these topics: Definition of a quadratic function; how to write quadratic equations in standard form, vertex form, and factored form; how to graph quadratic functions in their various forms. |
Quadratic Equations and Functions | |

## INSTRUCTIONAL RESOURCE: Tutorial: What Is a Recursive Function? |
## INSTRUCTIONAL RESOURCE: Tutorial: What Is a Recursive Function?In this Slide Show, learn what a recursive function is. |
Applications of Functions and Relations, Relations and Functions | |

## INSTRUCTIONAL RESOURCE: Tutorial: What Is Function Notation? |
## INSTRUCTIONAL RESOURCE: Tutorial: What Is Function Notation?In this Slide Show, learn about funciton notation in the context of evaluating or transforming a function. |
Applications of Functions and Relations, Relations and Functions | |

## Math Clip Art--Function Concepts--Function Graphs 01 |
## Math Clip Art--Function Concepts--Function Graphs 01This is part of a collection of math clip art images about functions, relations, their properties, and their graphs. |
Relations and Functions | |

## Math Clip Art--Function Concepts--Function Graphs 02 |
## Math Clip Art--Function Concepts--Function Graphs 02This is part of a collection of math clip art images about functions, relations, their properties, and their graphs. |
Relations and Functions | |

## Math Clip Art--Function Concepts--Function Graphs 03 |
## Math Clip Art--Function Concepts--Function Graphs 03This is part of a collection of math clip art images about functions, relations, their properties, and their graphs. |
Relations and Functions | |

## Math Clip Art--Function Concepts--Function Graphs 04 |
## Math Clip Art--Function Concepts--Function Graphs 04 |
Relations and Functions | |

## Math Clip Art--Function Concepts--Function Graphs 05 |
## Math Clip Art--Function Concepts--Function Graphs 05 |
Relations and Functions | |

## Math Clip Art--Function Concepts--Function Graphs 06 |
## Math Clip Art--Function Concepts--Function Graphs 06 |
Relations and Functions |