Describe how to transform the graph of g(x)=ln x into the graph of f(x)=ln(x-4)+3? options: a. translate 4 units to the left and 3 units up c. translate 4 units to the right and 3 units down b. translate 4 units to the right and 3 units up d. translate 3 units to the left and 4 units down

Subtraction of a number from x represents a shift towards right. So this means g(x) has been shifted 4 units to right. Addition of a number to the function value represents a vertical shift. So g(x) has been shifted 3 units up to get f(x).

So, we can write f(x) as:

f(x) = g(x - 4) + 3

So, translate g(x) 4 units to right and 3 units up to get f(x).

Thus, option C is the correct answer