$$\text { How can the graph of } f ( x ) = \frac { 6 } { x + 14 } \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? }$$
A) By making a horizontal shift of 6 units to the right and a vertical shift of 14 units down
B) By making a horizontal shift of 14 units to the left and stretching vertically by a factor of 6
C) By making a horizontal shift of 14 units to the left and a vertical shift of 6 units up
D) By making a horizontal shift of 14 units to the right and stretching vertically by a factor of 6

Question

Quizplus · Accepted Answer

The graph of $f(x) = \frac{6}{x + 14}$ can be obtained from the graph of $y = \frac{1}{x}$ by shifting it 14 units to the left (which corresponds to adding 14 to $x$, making the denominator $x + 14$) and stretching it vertically by a factor of 6 (multiplying the whole function by 6).

How can the graph of f(x)=6x+14 be obtained from the graph of y=1x ? \text { How can the graph of } f ( x ) = \frac { 6 } { x + 14 } \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? } How can the graph of f(x)=x+146​ be obtained from the graph of y=x1​ ?

$\text { How can the graph of } f ( x ) = \frac { 6 } { x + 14 } \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? }$