$$\text { How can the graph of } f ( x ) = \frac { 1 } { x - 9 } + 6 \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? }$$
A) By making a horizontal shift of 6 units to the right and a vertical shift of 9 units up
B) By making a horizontal shift of 6 units to the left and a vertical shift of 9 units down
C) By making a horizontal shift of 9 units to the left and a vertical shift of 6 units up
D) By making a horizontal shift of 9 units to the right and a vertical shift of 6 units up

Question

Quizplus · Accepted Answer

The graph of $f(x) = \frac{1}{x-9} + 6$ can be obtained from $y = \frac{1}{x}$ by shifting the graph 9 units to the right (to account for $x-9$ in the denominator) and then shifting it 6 units up (to account for the "+6" outside the fraction).

How can the graph of f(x)=1x−9+6 be obtained from the graph of y=1x ? \text { How can the graph of } f ( x ) = \frac { 1 } { x - 9 } + 6 \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? } How can the graph of f(x)=x−91​+6 be obtained from the graph of y=x1​ ?

$\text { How can the graph of } f ( x ) = \frac { 1 } { x - 9 } + 6 \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? }$