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The Function G(x)=f(x-7)+3 Which of the Following Is True About the Graph of G(x) A The Graph of G(x) Is Shifted 7 Units to the Right

Problemas

The function g(x)=f(x-7)+3 Which of the following is true about the graph of g(x) A The graph of g(x) is shifted 7 units to the right and 3 units below the graph of f(x) B The graph of g(x) is shifted 7 units to the left and 3 units below the graph of f(x) The graph of g(x) is shifted 7 units to the right and 3 units above the graph of f(x) The graph of g(x) is shifted 7 units to the left and 3 units above the graph of f(x)

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Respuesta

To determine the transformation of the graph of compared to the graph of , we need to analyze the given function .The function is obtained by applying two transformations to the function :1. Horizontal shift: The term inside the function indicates a horizontal shift of 7 units to the right.2. Vertical shift: The term outside the function indicates a vertical shift of 3 units upward.Therefore, the correct answer is:C. The graph of is shifted 7 units to the right and 3 units above the graph of .