Describe the graph of y=1/2x-10 -3 comapred to the graph of y= 1/x

The parent function is:

The transformed function is:

Comparison of simplified transformed function with the parent function:

The function multiplying by a number indicates dilation. The function is being compressed in vertical direction by a factor of 2 if the number lies between 0 and 1.Subtracting a number from x indicates a horizontal shift towards right. That is the parent function is transformed 5 units to right.Subtracting a number from the function indicates a downward shift. That is the parent function is transformed 3 units down.

Hence the graph of is the graph of stretched vertically, shifted right by 10 unit and shifted 3 unit down.

The image of the graph is attached below.

The expression of this would be 3.75x+y= 23