 ## NY-AI-F.BF.3a: Using f(x) + k, k f(x), and f(x + k): 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.

There are 100 resources.
Title Description Thumbnail Image Curriculum Topics

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 and Quadratic Equations and Functions

## Definition--Functions and Relations Concepts--Recursive Function

Definition--Functions and Relations Concepts--Recursive Function

This 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 Sequence

This 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 Formula

This 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 Form

This 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 Form

This 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 Form

This 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 Form

In 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 and Slope-Intercept Form

## INSTRUCTIONAL RESOURCE: Desmos Tutorial: Quadratic Functions in Standard Form

INSTRUCTIONAL RESOURCE: Desmos Tutorial: Quadratic Functions in Standard Form

In 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 Functions

In this Slide Show, learn what it means to evaluate a function. Applications of Functions and Relations and Relations and Functions

## INSTRUCTIONAL RESOURCE: Tutorial: Graphing Linear Functions

INSTRUCTIONAL RESOURCE: Tutorial: Graphing Linear Functions

In 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 Function

This 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 Function

This 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 and 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 and 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 and 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 and Relations and Functions

## Math Clip Art--Function Concepts--Function Graphs 01

Math Clip Art--Function Concepts--Function Graphs 01

This 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 02

This 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 03

This 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

This 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 05

Math Clip Art--Function Concepts--Function Graphs 05

This 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 06

Math Clip Art--Function Concepts--Function Graphs 06

This is part of a collection of math clip art images about functions, relations, their properties, and their graphs. Relations and Functions