| Code |
Description |
| MA.912.F.2.1: | Identify the effect on the graph or table of a given function after replacing f(x) by f(x)+k,kf(x), f(kx) and f(x+k) for specific values of k.Clarifications:
Clarification 1: Within the Algebra 1 course, functions are limited to linear, quadratic and absolute value.Clarification 2: Instruction focuses on including positive and negative values for k.
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| MA.912.F.2.2: | Identify the effect on the graph of a given function of two or more transformations defined by adding a real number to the x- or y- values or multiplying the x- or y- values by a real number. |
| MA.912.F.2.3: | Given the graph or table of f(x) and the graph or table of f(x)+k,kf(x), f(kx) and f(x+k), state the type of transformation and find the value of the real number k.Clarifications:
Clarification 1: Within the Algebra 1 course, functions are limited to linear, quadratic and absolute value. |
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| MA.912.F.2.4: | Given the graph or table of values of two or more transformations of a function, state the type of transformation and find the values of the real number that defines the transformation. |
| MA.912.F.2.5: | Given a table, equation or graph that represents a function, create a corresponding table, equation or graph of the transformed function defined by adding a real number to the x- or y-values or multiplying the x- or y-values by a real number. |
This cluster includes the following access points.
| Access Point Number |
Access Point Title |
| MA.912.F.2.AP.1: | Select the effect (up, down, left, or right) on the graph of a given function after replacing f(x) by f(x) + k and f(x + k) for specific values of k. |
| MA.912.F.2.AP.2: | Identify the effect on the graph of a given function of two or more transformations defined by adding a real number to the x- or y-values. |
| MA.912.F.2.AP.3: | Given the graph of a given function after replacing f(x) by f(x) + k and f(x + k), kf(c), for specific values of k select the type of transformation and find the value of the real number k. |
| MA.912.F.2.AP.5: | Given a table, equation or graph that represents a function, select a corresponding table, equation or graph of the transformed function defined by adding a real number to the x- or y-values. |
Vetted resources educators can use to teach the concepts and skills in this topic.
| Name |
Description |
| Transforming Quadratics - The basics: | This lesson introduces students to the quadratic parent function, as well as reinforces some key features of quadratic functions. It allows students to explore basic transformations of quadratic functions and provides a note-taking sheet for students to organize their learning. There is a "FUN" cut and paste activity for students to match quadratic graphs with verbal descriptions and their equations. |
| Graphing Quadratics Made Easy: Vertex Form of the Equation: | This lesson covers quadratic translations as they relate to vertex form of a quadratic equation. Students will predict what will happen to the graph of a quadratic function when more than one constant is in a quadratic equation. Then, the students will graph quadratic equations in vertex form using their knowledge of the translations of a quadratic function, as well as describe the translations that occur. Students will also identify the parent function of any quadratic function as  . |
| Translating Quadratic Functions: | In this lesson, students will investigate the changes to the graph of a quadratic function when the function is modified in four different ways by inclusion of an additive or multiplicative constant. Students will work in groups to graph quadratic functions, prepare a display of their functions, and determine how the modification affects the graph of the quadratic function. Then, students participate in a gallery walk, where members of each group will share their findings with a small group of students. At the end, there is a class discussion to see if everyone had similar findings and to solidify the knowledge of translating quadratic functions. |
| Graphing Quadratic Equations: | This is an introductory lesson to graphing quadratic equations. This lesson uses graphing technology to illustrate the differences between quadratic equations and linear equations. In addition, it allows students to identify important parts of the quadratic equation and how each piece changes the look of the graph. |
| Graphing Quadratic Equations: | This is an introductory lesson to graphing quadratic equations. This lesson uses graphing technology to illustrate the differences between quadratic equations and linear equations. In addition, it allows students to identify important parts of the quadratic equation and how each piece changes the look of the graph. |
Vetted resources students can use to learn the concepts and skills in this topic.
Vetted resources caregivers can use to help students learn the concepts and skills in this topic.
