How does the graph of g(x) = 1/x+4-6 compare to the graph of the parent function f(x)=1/x ?

Accepted Solution

you can recall that
f(x-c) is shifting to the right by c units
f(x+c) is shifting to the left by c units
f(x)+c is shifting up by c units
f(x)-c is shifting down by c units
given that f(x)=1/x
g(x)=f(x+4)-6 thus f(x) is shifted to the left 4 units and down 6 units