Compare the graph of the function, g (x) = (1) / (x-1) - 3 (, with the graph of its parent function.) Which of the following options best describes the transformations undergone by g (x) ? Select all that apply.

left 1

up 3

right 1

left 3

down 3

up 1

right 3

Answers:

right 1, down 3 (these two answers only)

Step-by-step explanation:

There are two transformations going on. The first of which is the horizontal or x translation (aka shifting) where the 'x' turns into 'x-1'. This moves the xy axis 1 spot to the left, giving the illusion that the graph moves 1 unit to the right.

The "-3" at the end shifts the graph down 3 units. If g (x) = f (x) - 3, then g (x) is the output of f (x) but 3 less than that, which is why it shifts down 3 units.