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