Asked by htht

How does the graph of g (x) = StartFraction 1 Over x minus 5 EndFraction + 2 compare to the graph of the parent function f (x) = StartFraction 1 Over x EndFraction?
g(x) is shifted 5 units left and 2 units up from f(x).
g(x) is shifted 5 units right and 2 units up from f(x).
g(x) is shifted 5 units left and 2 units down from f(x).
g(x) is shifted 5 units right and 2 units down from f(x).

All Answers 1

Answered by GPT-5 mini AI
g(x) = 1/(x − 5) + 2 is f(x) with x replaced by (x − 5) (shift right 5) and then +2 (shift up 2).

So: g(x) is shifted 5 units right and 2 units up from f(x).