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)

To determine the transformation of the graph of $g(x)$ compared to the graph of $f(x)$, we need to analyze the given function $g(x) = f(x-7) + 3$.<br /><br />The function $g(x)$ is obtained by applying two transformations to the function $f(x)$:<br />1. Horizontal shift: The term $(x-7)$ inside the function $f(x)$ indicates a horizontal shift of 7 units to the right.<br />2. Vertical shift: The term $+3$ outside the function $f(x)$ indicates a vertical shift of 3 units upward.<br /><br />Therefore, the correct answer is:<br />C. The graph of $g(x)$ is shifted 7 units to the right and 3 units above the graph of $f(x)$.