Answer the question
-$$\text { How can the graph of } f ( x ) = \frac { 3 } { x + 19 } \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? }$$
A) By making a horizontal shift of 19 units to the left and stretching vertically by a factor of 3
B) By making a horizontal shift of 19 units to the right and stretching vertically by a factor of 3
C) By making a horizontal shift of 3 units to the right and a vertical shift of 19 units down
D) By making a horizontal shift of 19 units to the left and a vertical shift of 3 units up

Question

Quizplus · Accepted Answer

The function $ f(x) = \frac{3}{x+19} $ is obtained by shifting $ y = \frac{1}{x} $ 19 units to the left (due to $ x+19 $) and stretching vertically by a factor of 3 (due to the numerator 3).