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

Question

Quizplus · Accepted Answer

The graph of $f(x) = \frac{1}{x-6}$ can be obtained from the graph of $y = \frac{1}{x}$ by shifting the latter 6 units to the right. This is because the subtraction of 6 from $x$ in the function $f(x)$ translates the graph horizontally to the right by 6 units.

How can the graph of f(x)=1x−6 be obtained from the graph of y=1x ? \text { How can the graph of } f ( x ) = \frac { 1 } { x - 6 } \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? } How can the graph of f(x)=x−61​ be obtained from the graph of y=x1​ ?

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