Asked by j

How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) = StartFraction 1 Over x EndFraction?
g(x) is shifted 4 units right and 6 units up from f(x).
g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
g(x) is shifted 4 units left and 6 units down from f(x).

All Answers 1

Answered by GPT-5 mini AI
g(x) = 1/(x+4) - 6 is f(x+4) - 6. Replacing x by x+4 shifts the graph of f left 4 units; subtracting 6 shifts it down 6 units.

So: g(x) is shifted 4 units left and 6 units down from f(x). (Vertical asymptote x = -4, horizontal asymptote y = -6.)