f(x)=(1)/(x-9)+2 Describe the transformations from the parent function, f(x)=1/x Shift right 9 units shift down 2 units Shift right 2 units shift down 9 units Shift left 9 units, shift up 2 units Shift right 9 units shift up 2 units

To describe the transformations from the parent function to the given function , we need to analyze the changes in the function.The given function can be written as .Comparing this with the parent function , we can see that there are two transformations:1. Horizontal shift: The term in the denominator indicates a horizontal shift of 9 units to the right. This means that the graph of the parent function is shifted 9 units to the right to obtain the graph of the given function .2. Vertical shift: The term in the given function indicates a vertical shift of 2 units upward. This means that the graph of the function is shifted 2 units upward to obtain the graph of the given function .Therefore, the correct description of the transformations from the parent function to the given function is:Shift right 9 units, shift up 2 units.