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3B Transformations of Exponential Functions

3B Transformations of Exponential Functions. Vertical Translation. f ( x ) = c x + k. Given the graph of f ( x ) = 2 x. Sketch the graph of g ( x ) = 2 x + 3. Shifts the graph up if k > 0. The graph of f ( x ) moves upward 3 units. ( x , y ) ? ( x , y + k ) (0, 1) ? (0 , 4).

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3B Transformations of Exponential Functions