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The function g is related to one of the parent functions described in an earlier section. g ( x ) = |2 x | (a)

The function g is related to one of the parent functions described in an earlier section.

g(x) = |2x|

(a) Identify the parent function f. f(x) =

(b) Describe the sequence of transformations from f to g. (Select all that apply.)

horizontal shift of 2 units to the left

horizontal shrink

reflection in the x-axis

vertical shift of 2 units downward

horizontal shift of 2 units to the right (c) Sketch the graph of g

(d) Use function notation to writegin terms off.

g(x) =f

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