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2 The Function G(x)=f(x+2) Which of the Following Is True About the Graph of G(x) A The Graph of G(x) Is Shifted 2 Units to the Right

Problemas

2 The function g(x)=f(x+2) Which of the following Is true about the graph of g(x) A The graph of g(x) is shifted 2 units to the right of the graph of f(x) B The graph of g(x) is shifted 2 units to the left of the graph of f(x) C The graph of g(x) is shifted 2 units below the graph of f(x) The graph of g(x) is shifted 2 units above the graph of f(x)

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Respuesta

B

Explicación

The function is a transformation of the function . In this case, the "+2" inside the function indicates a horizontal shift of the graph. Specifically, it means that the graph of is shifted 2 units to the left of the graph of . This is because the "+2" is inside the function, affecting the x-values, which correspond to the horizontal direction. If it were outside the function, such as in , it would indicate a vertical shift. Therefore, the correct answer is B: The graph of is shifted 2 units to the left of the graph of .