Describe a function \( g(x) \) in terms of \( f(x) \) if the graph of \( g \) is obtained by vertically stretching \( f \) by a factor of 9 , then shifting the graph of \( f \) to the right 5 units and upward 7 units. \( g(x)=A f(x+B)+C \), where \( A=\square \) \( B=\square \) \( C=\square \)

The function g(x) is created by taking f(x) and performing three transformations: 1. Vertically stretch f(x) by a factor of 9. This multiplies the output of f(x) by 9. 2. Shift f(x) to the right by 5 units. A horizontal shift to the right is accomplished by replacing x with (x – 5). 3. Shift f(x) upward by 7 units. Adding 7 to the function moves the graph upward. Thus, combining these transformations, the function g(x) can be written as:   g(x) = 9 f(x – 5) + 7 In the given form g(x) = A f(x + B) + C:   A = 9,   B = –5,   C = 7.