Transformations of functions algebra

    • [PDF File]Introduction to Functions 9th Grade Algebra Unit by Rachel ...

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      V. Transformations a. The parent function of all linear functions is f(x) = x or y = x b. Perform transformations on the parent function to obtain new lines i. Translations 1. Move up or down: g(x) = f(x) + k 2. Move left or right: g(x) = f(x+k) ii. Shrinks and Stretches 1. A shrink makes the slope of a line smaller or shallower. a. g(x) = f(ax)

    • [PDF File]Quadratic Functions

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      2.1 Transformations of Quadratic Functions The height h (in feet) of a water balloon after it is launched can be modeled by h(x) = −0.05x2 + 0.75x + 5, where x is the horizontal distance (in feet) from the launch pad. The launch pad is adjusted so that the water balloon lands 15 feet farther from the launch pad.

    • [PDF File]Mathematics Instructional Plans Function Transformations

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      Function Transformations Strand: Algebra and Functions Topic: Reflecting, Dilating and Translating Functions Primary SOL: AFDA.2 The student will use knowledge of transformations to write an equation, given the graph of a linear, quadratic, exponential, and logarithmic function. Related SOL: AFDA.1 Materials

    • [PDF File]Transformational Graphing; Functions; AII

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      Mathematics Enhanced Scope and Sequence – Algebra II ... Reporting Category Functions Topic Exploring transformational graphing Primary SOL AII.6 The student will recognize the general shapes of function (absolute ... Transition into a discussion about the similarities of transformations on a quadratic function to absolute value, square root ...

    • [PDF File]Common Core Algebra 2 - Commack Schools

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      Functions that belong to the same family share key characteristics. The _____ _____ is the most basic function in a family. Functions in the same family are transformations of their parent function. Core Concept – Parent Functions Family Rule Graph Domain Range Example 1: Identifying a Function Family

    • [PDF File]9-4 Using Transformations to Graph Quadratic Functions ...

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      Holt McDougal Algebra 2 9-4 Using Transformations to Graph Quadratic Functions Students will use vertex form to graph quadratic functions and describe the transformations from the parent function with 70% accuracy. Because the vertex is translated h horizontal units and k vertical from the origin, the vertex of the parabola is at (h, k).

    • [PDF File]Unit 1: Functions, Operations on Functions and ...

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      Algebra 2-DRAFT Curriculum Map Based on the 2011 MA Mathematics Frameworks 6/8/14 Essential Questions: Unit 1: Functions, Operations on Functions and Transformations (with review of systems) How do you most clearly represent the combination of two functions?

    • [PDF File]FUNCTIONS Transformations with Functions

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      M – Functions, Lesson 6, Transformations with Functions (r. 2018) FUNCTIONS . Transformations with Functions . Common Core Standard F-BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x),

    • [PDF File]2. Graphical Transformations of Functions

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      2. Graphical Transformations of Functions In this section we will discuss how the graph of a function may be transformed either by shifting, stretching or compressing, or reflection. In this section let c be a positive real number. Vertical Translations A shift may be referred to as a translation. If c is added to the function, where the

    • [PDF File]Transformations of Functions (Advanced) - Math Plane

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      Identifying Properties and Transformations of Functions Example: If the point (2, 7) is on the EVEN functionlx), another point. (—2, 7) If a function is even, then for every point, there is another point reflected over the y-axis (the function's line of symmetry is the y-axis)

    • [PDF File]Transformation of Rational Functions

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      Prior to the lesson, students should have experience transforming parent functions and should know function notation. Objectives Students will: rewrite rational expressions as sums in order to reveal end behavior. apply transformations to the graphs of rational functions. sketch the resulting graphs. Level Algebra 2

    • [PDF File]Injective and surjective functions

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      LECTURE 18: INJECTIVE AND SURJECTIVE FUNCTIONS AND TRANSFORMATIONS MA1111: LINEAR ALGEBRA I, MICHAELMAS 2016 1. Injective and surjective functions There are two types of special properties of functions which are important in many di erent mathematical theories, and which you may have seen. The rst property we

    • [PDF File]Foundations for Functions

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      Foundations for Functions Algebra II Toothpicks and Transformations Page 2 For each group of four: Small paper cup containing about 100 toothpicks (Note: Flat toothpicks will be easier to work with than round ones.) Bright-colored construction paper mats (optional) Graphing calculators Transformations Activities Sheets 1 and 2 Toothpicks and ...

    • [PDF File]Section 2.5 Transformations of Functions Objectives H

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      tions in algebra.The table shows each function’s graph and lists characteristics of the function. Study the shape of each graph and take a few minutes to verify the function’s characteristics from its graph.Knowing these graphs is essential for an-alyzing their transformations into more complicated graphs. Objectives Recognize graphs of common

    • [PDF File]5.2 Transformations of Functions Pt 2 NOTES - Algebra 2

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      5. 2 Transformations of Functions, Pt 2 Directions: Write g(x) in terms of f(x) after performing the given transformation of the graph f(x). Directions: Write a function, g(x) that is a translation of the parent function. 5 1a) Transform the graph with a horizontal compression of 6

    • [PDF File]1.2 Transformations of Linear and Absolute Value Functions

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      Section 1.2 Transformations of Linear and Absolute Value Functions 13 Writing Refl ections of Functions Let f(x) = ∣ x + 3 ∣ + 1. a. Write a function g whose graph is a refl ection in the x-axis of the graph of f. b. Write a function h whose graph is a refl ection in the y-axis of the graph of f. SOLUTION a. A refl ection in the x-axis changes the sign of each output value.

    • [PDF File]1-5 Guided Notes TE - Parent Functions and Transformations

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      A family of functions is a group of functions with graphs that display one or more similar characteristics. The Parent Function is the simplest function with the defining characteristics of the family. Functions in the same family are transformations of their parent functions.

    • [PDF File]Graph Transformations - University of Utah

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      the graph of some similar functions. Throughout the chart, d>0, c>1, and (a,b)isapointinthegraphoff(x). Notice that all of the “new functions” in the chart di↵er from f(x)bysome algebraic manipulation that happens after f plays its part as a function. For example, first you put x into the function, then f(x) is what comes out. The

    • [PDF File]Mathematics Instructional Plan Transformation Investigation

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      4. Students should become familiar with describing the transformations of linear functions. The following (adapted from the 2016 VDOE Algebra I Vocabulary Word Wall Cards) generalize these transformations: 5. Have students sketch a graph for each of the following equations. You can use a graphing

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