Answer :

The transformations to the parent function are given as follows:

  • Vertical stretch by a factor of 3.
  • Translation left 5 units.
  • Translation down 3 units.

How to obtain the transformations?

The parent function for this problem is given as follows:

y = 1/x.

The transformed function for this problem is given as follows:

y = 3/(x + 5) - 3.

Hence the transformations to the parent function are given as follows:

  • Vertical stretch by a factor of 3. -> multiplication by 3 in the numerator.
  • Translation left 5 units, as x -> x + 5.
  • Translation down 3 units, as y -> y - 3.

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