Describe how the graph of the given function can be obtained by transforming the graph of the reciprocal function f(x) =
1/x.
-$$f ( x ) = \frac { 1 } { x - 5 }$$
A) Shift the graph of the reciprocal function right 5 units.
B) Shift the graph of the reciprocal function down 5 units.
C) Shift the graph of the reciprocal function left 5 units.
D) Shift the graph of the reciprocal function up 5 units.

Question

Quizplus · Accepted Answer

The graph of $f(x) = \frac{1}{x - 5}$ can be obtained from the graph of $f(x) = \frac{1}{x}$ by shifting it to the right by 5 units. This is because the -5 inside the function affects the x-values, moving the entire graph horizontally to the right.

Describe How the Graph of the Given Function Can Be f(x)=1x−5f ( x ) = \frac { 1 } { x - 5 }f(x)=x−51​

Describe How the Graph of the Given Function Can Be $f ( x ) = \frac { 1 } { x - 5 }$