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Describe the transformations necessary to transform the graph of f x solid line into that of g x dashed line 1 x y reflect across the x axis translate left units 2 x y compress vertically by a factor of translate up units Describe the transformations necessary to transform the graph of f x into that of g x 3 f x x
Solution This IS a linear transformation Let s check the properties T x y T x T y Let x and y be vectors in R2 Then we can write them as x x1 y1 y x2 By de nition we have that T x y T x1 y1 x2 y2
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Translating Functions Worksheet Db excel
Translating Functions Worksheet Db excel
bigstar Begin by graphing the appropriate parent function the basic cube root function f x sqrt 3 x constant function f x 0 or linear function f x x Then use transformations of this graph to graph the given function
Detailed Answer Key 1 Answer The graph of g x x 5 is the result of translating the graph of f x x 5 units down 2 Answer The graph of g x 2x 2 is the result of rotating the graph of f x x 2 about 0 2 The graph of g x is steeper than the graph of f
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Transformations Of Rational Functions Worksheet Answers Function Worksheets
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Lesson 4 4 Transformations of Linear Functions 241 Sample answer The x intercepts move right h units or left h units from the x intercept of the parent function input x values 5 g x f x h g x f x 5 left g x f x h k g x f x 6 3 h 6 k 3 6 units right 3 units up Sample answer Yes g x x 6 3 can be
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Solution This IS a linear transformation Let s check the properties T x y T x T y Let x and y be vectors in R2 Then we can write them as x x1 y1 y x2 By de nition we have that T x y T x1 y1 x2 y2
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3 7 Practice Transformations of Linear Functions 1 Writing Identify the three types of transformations 2 What is the difference between a slope change and a translation Describe the transformation that maps f x to g x 3 4 7 5 2 3 6 6 10 1 4 Given 2 1
Solution This IS a linear transformation Let s check the properties T x y T x T y Let x and y be vectors in R2 Then we can write them as x x1 y1 y x2 By de nition we have that T x y T x1 y1 x2 y2
3 7 Practice Transformations of Linear Functions 1 Writing Identify the three types of transformations 2 What is the difference between a slope change and a translation Describe the transformation that maps f x to g x 3 4 7 5 2 3 6 6 10 1 4 Given 2 1
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