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Strand #: 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.

Strand Information

General Information

Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Functions
Standard: Identify and describe the effects of transformations on functions. Create new functions given transformations.
Date Adopted or Revised: 08/20
Status: State Board Approved

Strand Instructional Guide

Click on the course link to open the related instructional guide:

  • 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.

Lesson Plan

  • Functions, Graphs, and Symmetry...Oh My! This lesson plan provides a review of 5 basic functions (linear, quadratic, cubic, absolute value, and square root). Students work with the algebraic and graphic representations of the functions and explore the effects of transformations on each. Key components such as the domain, range, vertex, axis of symmetry, and even/odd functions are also examined.

Problem-Solving Tasks

  • Building a General Quadratic Function In this resource, a method of deriving the quadratic formula from a theoretical standpoint is demonstrated. This task is for instructional purposes only and builds on "Building an explicit quadratic function."
  • Transforming the Graph of a Function This task examines the geometric impact of adding a scalar, multiplying by a scalar, and making a linear substitution of variables on the graph of a function f. The setting here is abstract, as there is no formula for the function f. This resource includes annotated solutions.
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