Worksheet 5.5 Problem 2: Give an explicit formula for each of the transformations of f(x) = √(x^2 + 2) below. Then in each case determine the factor by which the graph of f(x) is horizontally/vertically compressed/stretched. For example: f(2x) = √((2x)^2 + 2) is a horizontal compression of f(x) by a factor of 2. 1.3f(x) = √(x^2 + 2) 2. f(2x) = √(2x^2 + 2) 3. 3f(√(x^2 + 2))
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f(x) + 2: This transformation shifts the graph of f(x) vertically upward by 2 units. The explicit formula for this transformation is f(x) + 2. There is no horizontal compression or stretching. Show more…
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