Answer the question
-$$\text { How can the graph of } f ( x ) = \frac { 1 } { x - 5 } \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? }$$
A) By making a horizontal shift of 5 units to the left
B) By making a vertical shift of 5 units down
C) By making a horizontal shift of 5 units to the right
D) By making a vertical shift of 5 units up

Question

Quizplus · Accepted Answer

The graph of $f(x) = \frac{1}{x-5}$ can be obtained from the graph of $y = \frac{1}{x}$ by shifting it 5 units to the right, which corresponds to adding 5 to the x-value in the denominator.