If g (x) = 1/x were shifted 2 untold to the left and 2 united up, what would the new equation be?

Horizontal translation are obtained by the following transformation:

In particular, you translate k units to the left if k>0, k units to the right if k<0.

Similarly, vertical translation are obtained by the following transformation:

In particular, you translate k units up if k>0, k units down if k<0.

So, you proceed like this: start with

Translate 2 units to the left:

Translate 2 units up:

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