Absolute Value Transformations Worksheet Answer Key Absolute Value function translated 1 unit down and 3 units to the right For each graph identify the parent function describe the transformations write an equation for the graph describe the domain and range using interval notation and identify the equation for the axis of symmetry
To enable screen reader support press Ctrl Alt Z To learn about keyboard shortcuts press Ctrl slash 1 3 Practice Transformations of Absolute Values 1 4 Graph each absolute value function 1 y x 4 2 2 y x 1 3 3 y 2x 4 4 1 2 3 2 y x 5 Write the equation 6 The minimum value of is the same as the minimum value of c The functions have the same range d The minimum value of is less than the minimum value of
Absolute Value Transformations Worksheet Answer Key
Absolute Value Transformations Worksheet Answer Key
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This article provides the answer key for the Absolute Value Transformations Worksheet It includes step by step explanations and solutions to help students understand and practice absolute value transformations more effectively TRANSLATION OF ABSOLUTE VALUE FUNCTIONS WORKSHEET Describe the translation from the graph of f x x h k to the graph of the given function Here h k be 0 0 Then graph the given function Problem 1 f x x 2 6 Solution Problem 2 f x x 4 4 Solution Problem 3 f x x 3 5 Solution Problem 4 f
Answers 1 Answer Identify a b and c g x x a 1 graph opens downward and width is unchanged b 0 no horizontal translation c 0 no vertical translation Find the absolute values Compare Use lt gt or The equation x 100 has two solutions x 100 and x 100 Write two solutions for each variable in the equations below
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You can quickly graph absolute value functions by transforming the graph of y x When a function has a vertex the letters h and k are used to represent the coordinates of the vertex Because an absolute value function has a vertex the general form is y a0 x h 0 k Use a graphing calculator to verify your answers are correct Write functions representing translations and refl ections Write functions representing stretches and shrinks Write functions representing combinations of transformations You can use function notation to represent transformations of graphs of functions
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