'Horizontal translations' presentation slideshows

Unit 2

Unit 2 . Properties and Attributes of Functions. Characteristics of Relations and Functions . Unit 2: Properties and Attributes of Functions. 1. Cartesian Coordinate Plane. 2. Vocabulary. Term: Origin Representation: Verbal Description:. 2. Vocabulary. Term: Ordered Pair

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COLLEGE ALGEBRA

COLLEGE ALGEBRA. LIAL HORNSBY SCHNEIDER. 2.7. Graphing Techniques. Stretching and Shrinking Reflecting Symmetry Even and Odd Functions Translations. STRETCHING OR SHRINKING A GRAPH. Example 1. Graph the function. a.

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Symmetry in the Plane

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Warm up

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Warm-Up: you should be able to answer the following without the use of a calculator

Warm-Up: you should be able to answer the following without the use of a calculator. 1) State the domain, range and axis of symmetry for the following parent graph. 2) Graph the following function and state the domain, range and axis of symmetry for the following function:.

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Learning Objectives for Section 2.2

Learning Objectives for Section 2.2. Elementary Functions; Graphs and Transformations. You will become familiar with some elementary functions. You will be able to transform functions using vertical and horizontal shifts. You will be able to transform functions using stretches and shrinks.

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Warm Up Evaluate each expression for f (4) and f (-3).

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Vertical Stretching or Shrinking of the Graph of a Function

Vertical Stretching or Shrinking of the Graph of a Function. Suppose that a > 0. If a point ( x , y ) lies on the graph of y = ?( x ), then the point ( x , ay ) lies on the graph of y = a ?( x ).

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Exploring Transformations of Parent Functions

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Exploring Transformations of Parent Functions

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Replacing f ( x ) with f ( x ) + k and f ( x + k )

Replacing f ( x ) with f ( x ) + k and f ( x + k ). Adapted from Walch Education. Transformations. Neither f ( x + k ) nor f ( x ) + k will change the shape of the function so long as k is a constant.

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Do Now

Do Now. 4.2. Translations of the Graphs of the Sine and Cosine Functions (HORIZONTAL TRANSLATIONS). Translations. Graph y = sin ( x ? ?/3). Find the interval for one period. Divide the interval into four equal parts. You have to add terms and divide by two!. Make your table. Graph.

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Quadratic Functions, Translation and Reflection

Quadratic Functions, Translation and Reflection. Lesson 2.2. Quadratic Function. Standard form a, b, and c are constants a ? 0 (why?) Vertex form (h, k) is the vertex of the parabola value for a is the same in both forms. Vertex of Parabola. X-value of vertex at Y-value of vertex at

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Today in Precalculus

Today in Precalculus. Need a calculator Go over homework Notes: Rigid Graphical Transformations Homework. Rigid Transformations. Leave the size and shape of the graph unchanged. Types: vertical shifts horizontal shifts reflections. Vertical Translations. Shift the graph up and down

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Section 1-5

Section 1-5. Graphical Transformations. Section 1-5. vertical and horizontal translations reflections across the axes vertical and horizontal stretches and shrinks combining transformations. Vertical and Horizontal Translations. horizontal translations

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