Consider the functions f (x) = logb (x) and g (x) = logb (x - c). No matter the base, when a positive value is substituted for c as compared to the parent function f (x), the graph of g (x) is translated c units. No matter the base, when a negative value is substituted for c as compared to the parent function f (x), the graph of g (x) is translated c units.
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