The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

A translation 7 units to the left replaces x with x + 7, giving (x + 7)². Moving the graph 3 units down subtracts 3, so g(x) = (x + 7)² − 3. Therefore, the correct choice is B, g(x) = (x + 7)² − 3.

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