Which answer describes the transformation of f (x) = log2 (x-5) - 2 from the parent function g (x) = log2x? A) It is the graph of g (x) shifted 5 units left and 2 units down. B) It is the graph of g (x) shifted 5 units right and 2 units down. C) It is the graph of g (x) shifted 2 units right and 5 units down. D) It is the graph of g (x) shifted 2 units left and 5 units down.

It is the graph of g (x) shifted 5 units right and 2 units down.

Step-by-step explanation:

Given : f (x) = log_2 (x-5) - 2

the parent function g (x) = log_2 (x)

To get f (x), 5 is subtracted from x

If we add any number with x then we shift left

If we subtract any number from x then we shift right

Here 5 is subtracted from x, so we shift 5 units right

Also - 2 at the end

If we add any number at the end, then we shift up

if we subtract any number at the end, then we shift down

Here 2 is subtracted at the end, so we shift 2 units down

It is the graph of g (x) shifted 5 units right and 2 units down.