Transformations Of Absolute Value Functions Worksheet Answers WS 1 Horizontal and Vertical Translations For each graph identify the parent function describe the transformations write an equation for the graph identify the vertex describe the domain and range using interval notation and identify the equation for the axis of symmetry Parent function absolute value Parent function quadratic
Delve into transformations of absolute value functions and how these functions can be shifted stretched shrunk or reflected to create new functions The parent function of an absolute value function is showcased as f x x serving as a foundation for understanding the various transformations The lesson explains how the graph of an I can identify transformations of linear and absolute value functions I can explain how translations refl ections stretches and shrinks affect graphs of functions
Transformations Of Absolute Value Functions Worksheet Answers
Transformations Of Absolute Value Functions Worksheet Answers
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Scaffolded Math And Science Graphing Absolute Value Functions CHEAT SHEET
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Absolute Value Function Transformations Absolute Value Pinterest
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2 4 Transformations of Absolute Value Functions TEKS FOCUS TEKS 6 C VOCABULARY Analyze the effect on the graphs of f x x when f x is replaced by af x f bx f x c and f x d for specific positive and negative real values of a b c and d Essential Question How do the graphs of y f x k f x h and y f x compare to the graph of the parent function f USING TOOLS STRATEGICALLY To be profi cient in math you need to use technological tools to visualize results and explore consequences Transformations of the Parent Absolute Value Function Work with a partner
Absolute Value Transformations Notes Given a parent function f x the transformation of the function is given by Each of the letters a b h and k have a job a vertical stretch compression and or reflection affects y Graph the four basic functions 1 Linear x y 8 6 4 22468 8 6 4 2 2 4 6 8 2 Absolute Value x y 8 6 4 22468 8 6 4 2 2 4 6 8 3 Quadratic x y 8 6 4 22468 8 6 4 2 2 4 6 8 4 Square Root x y 8 6 4 22468 8 6 4 2 2 4 6 8 Identify the parent function and predict what will happen to the graph of the function 5 f x x 2 6 f x x 12 2 7
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Algebra 2 Graphing Absolute Value Functions Worksheet Function Worksheets
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TRANSFORMING ABSOLUTE VALUE FUNCTIONS WORKSHEET Problem 1 Describe the transformations from the graph of f x x to the graph of g x Then graph both functions g x x Problem 2 Describe the transformations from the graph of f x x to the graphs of g x and h x Then graph all the three functions g x 3 x The shape of a roof is modeled by a transformation of the absolute value function f x x The function is reflected in the x axis and translated 8 units up and 10 units to the right to create the roof model a Which equation represents the model for the roof r x
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Transformations Of Absolute Value Functions Worksheet Answers - 2 4 Transformations of Absolute Value Functions TEKS FOCUS TEKS 6 C VOCABULARY Analyze the effect on the graphs of f x x when f x is replaced by af x f bx f x c and f x d for specific positive and negative real values of a b c and d