How is g(x)=1/2x-4 from the parent graph f(x)=1/x?

Question

Vertically stretched by a factor of 2 and shifted right 2 units.

Horizontally stretched by a factor of 2 and shifted right 4 units.
Vertically compressed by a factor of 1/2
and shifted left 2 units. <my answer
Vertically compressed by a factor of 1/2
and shifted right 2 units.

Answer 1

the way you typed it ....

http://www.wolframalpha.com/input/?i=plot+y%3D1%2F2x-4+,+y%3D1%2Fx%3F

One is a straight line, the other is a hyperbola

What makes me believe you meant
y = 1/(2x) - 4 ?? or perhaps y = 1/(2x - 4)

See how important those brackets are ??