Math  /  Algebra

QuestionFor each of the following, write a formula for the function, gg, obtained when the graph of ff is transformed as described. a. The graph of f(x)=x3f(x)=\sqrt[3]{x} is vertically stretched by a factor of 3 , then shifted to the right 4 units and down 6 units. g(x)=g(x)= \square b. The graph of f(x)=xf(x)=\sqrt{x} is horizontally compressed by a factor of 14\frac{1}{4}, then shifted to the left 7 units and down 3 units. g(x)=g(x)= \square
For additional help with this problem type, access the following resources: - TEXT Read College Algebra with Corequisite Support 2e 3.5 Transformation of Functions of the text.

Studdy Solution
a. g(x)=3x436g(x) = 3\sqrt[3]{x - 4} - 6 b. g(x)=4(x+7)3g(x) = \sqrt{4(x + 7)} - 3

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