Describe how to transform the graph of g (x) = ln x into the graph of f (x) = ln (x-4) + 3

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

The answer is because it says 4 units to the right the right is always the + x-axis so we must take the opposite sign so (x-4) - 4 is on the negative x axis so we take + side and say it goes in the + direction to the right. It is 3 units up because what ever we have outside the bracket is for the y-axis and it's +.