Page 1 1 3 Transformations of Function Graphs notebook 1 September 18, 2015 Page 2 Page 5 1 3 Transformations of Function Graphs notebook 5

Use the graph for Problems 5–7 5 On which intervals is the function positive? LESSON LESSON Transformations of Function Graphs 1-3

The mapping rule is useful when graphing functions with transformations (−1, 1) + h = −1−5 = −6 ay + k = −3(1)−4 = −7 (−6, −7)

In particular, we know f(0) = 1, f(2) = 3, f(4) = 3 and f(5) = 5 Suppose we wanted to graph the function defined by the formula g(x) = f(x)+2

When the function is multiplied by -1 where becomes – , the graph of is reflected across the x- axis On the other hand, if the variable is multiplied by -1,

1 2 6 3 -2 5 2 B Now try a negative value of k in g (x) = ƒ(x) + k Module 1 31 Lesson 3 1 3 Transformations of Function Graphs

2 fév 2018 · What vector describes each transformation? Translating the graph y = f(x) by the vector s t ⎛ ⎞

24 fév 2018 · (1) translations, (2) reflections, and (3) stretching Vertical Translation OUTSIDE IS TRUE! Vertical Translation the graph of y = f(x) + d is

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A parent function is the most basic version of an algebraic function of the parent function by: stretching the graph of y = f ( x) by a when a > 1

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f(x + 1) Graph each transformation of the parent function and describe the change from the y = x2; Left 5/3, Up 7/12, Vertical stretch of 4/3 6

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It is a shift up (or vertical translation up) of 2 units ) Example: y = x - 1 Parent function (y = x) shown on graph in red The transformation of

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1 y =1x + 0 Transformation: The graphs of all other linear functions The graph of g(x) is the result of translating the graph of f(x), 5 units down

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1 Families of Graphs In this section, we will study the following topics: Square root function (Ch 5); Quadratic function; Cubic function

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5-1 Reteach Using Transformations to Graph Quadratic Functions The graph of a quadratic function is a parabola A parabola is a curve shaped like the

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Graph each transformation of the parent function and describe the change from the original -1•f(x) –g(x – 4) + 7; 2/3h(x + 1) + 5 SPECIFIC FUNCTIONS

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The table shows the linear and quadratic parent functions Holt McDougal Algebra 2 5-1 Using Transformations to Graph Quadratic Functions Notice that the

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5 1 Transformations of function graphs

1 3 Transformations of Function Graphs

Reflection across the y-axis followed by a vertical shift 3 units up

14 inverses of functions

Characteristics of Function Graphs Reteach

Horizontal stretch by a factor of 4

Transformation of Functions Worksheet pdf answers

Graphing functions and transformations Worksheet answers

Parent Functions and Transformations worksheet with answers

Parent Functions and Transformations Worksheet pdf

Transformations of Parent Functions worksheet

Describe the transformation of the parent function calculator

Parent function transformations

Transformations of functions

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