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Published byMadlyn Atkinson Modified over 8 years ago
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Warm-Up Evaluate each expression for x = -2. 1) (x – 6) 2 4 minutes 2) x 2 - 6 3) 7x 2 4) (7x) 2 5) -x 2 6) (-x) 2 7) -3x 2 - 18) -(3x – 1) 2
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2.7 A Preview of Transformations 2.7 A Preview of Transformations Objectives: Identify the transformation(s) from one function to another
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Translation Graph Identify the translation. vertical translation 3 units down Graph Identify the translation. horizontal translation 2 units left
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Vertical Stretch and Compression Graph Identify the transformation. vertical stretch by a factor of 3/2 Graph Identify the transformation. vertical compression by a factor of 2/3
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Horizontal Stretch and Compression Graph Identify the transformation. horizontal compression by a factor of 2/3 Graph Identify the transformation. horizontal stretch by a factor of 3/2
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Reflection Graph Identify the transformation. vertical reflection across the x-axis Graph Identify the transformation. horizontal reflection across the y-axis
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Example 1 Graph f(x) = x 2 and g(x) = 3x 2 + 4. Identify the transformations from f to g. vertical translation 4 units up vertical stretch by a factor of 3
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Example 2 Graph Identify the transformations from f to g. reflection across the x-axis horizontal translation 2 units right vertical translation 1 unit down
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Practice 1) f(x) = x 2 and g(x) = 3(x – 1) 2 Graph each pair of functions, and identify the transformations from f to g. 2)
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Homework study
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