The Price Per Unit of a Product Is $\$ \mathrm { p }$

The price per unit of a product is $\$ \mathrm { p }$ and the number of units of the product is denoted by $\mathrm { q }$ . The demand function for this commodity is given by $\mathrm { p } = \frac { 20,000 } { \mathrm { q } } - 50$ . Describe the transformations needed to obtain the graph of this function from the graph of $p = \frac { 1 } { q }$ .

A) Stretch vertically by a factor of 20,000 and shift 50 units to the right.
B) Stretch vertically by a factor of 20,000 and shift down 50 units.
C) Shift up 20,000 units and shift 50 units to the right.
D) Stretch vertically by a factor of 20,000, reflect across the x-axis, and shift down 50 units.