Question

Describe how to obtain the graph of the transformed function below from its parent function.

Answer 1

shifted horizontally to the right 4 units, then stretched vertically by a factor of "3" , and finally shifted vertically up 6 units.

Explanation:

Given the function

`f(x)=(3)/(x-4) +6`

we can say that its parent function

`f(x)=(1)/(x)`

was:

shifted horizontally to the right 4 units (given by the 4 units subtracted from the variable x)

stretched vertically by a factor of "3"

and finally shifted vertically up 6 units.