Question

describe how the graph of g(x) is related to the graph of f(x)=1over x. for the problem g(x)=1over x+4

Answer 1

f(x) + n - shift a graph of f n units up

f(x) - n - shift a graph of f n units down

f(x + n) - shift a graph of f n units left

f(x - n) - shift a graph of f n units right.

We have

`f(x)=(1)/(x),\ g(x)=(1)/(x)+4=f(x)+4`

Shift the graph of f(x) 4 units up.

Or we have

`f(x)=(1)/(x),\ g(x)=(1)/(x+4)=f(x+4)`

Shift the graph of f(x) 4 units left.