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

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.

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

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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