The price per unit of a product is $\mathrm { p }$ and the number of units of the product is denoted by q. The demand function for this commodity is given by $p = \frac { 4000 } { q + 60 }$. Describe the transformations needed to obtain the graph of this function from the graph of $p = \frac { 1 } { q }$.
A) Shift 60 units to the left and stretch vertically by a factor of 4000.
B) Shift up 60 units and stretch vertically by a factor of 4000.
C) Shift 60 units to the right and stretch vertically by a factor of 4000.
D) Shift 60 units to the left and shift up 4000 units.

Question

Quizplus · Accepted Answer

The original function $p = \frac{1}{q}$ is transformed into $p = \frac{4000}{q + 60}$ by shifting the graph 60 units to the left (since $q + 60$ indicates a horizontal shift to the left) and stretching it vertically by a factor of 4000 (because the numerator is multiplied by 4000).

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

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