Describe how the graph of the given function can be obtained by transforming the graph of the reciprocal function f(x) =
1/x.
-$$f ( x ) = \frac { 2 - 3 x } { x - 4 }$$
A) Shift the graph of the reciprocal function right 4 units, stretch vertically by a factor of 10 , and then shift 3 units down.
B) Shift the graph of the reciprocal function right 4 units, reflect across the $x$-axis, stretch vertically by a factor of 10, and then shift 3 units down.
C) Shift the graph of the reciprocal function right 4 units, reflect across the x-axis, stretch vertically by a factor of 10, and then shift 3 units up.
D) Shift the graph of the reciprocal function right 4 units, stretch vertically by a factor of 10 , and then shift 3 units up.

Question

Quizplus · Accepted Answer

The function can be rewritten as $-\frac{3(x-2/3)}{x-4}$, indicating a horizontal shift right by 4 units, a reflection across the x-axis, and a vertical stretch by a factor of 3. There is no vertical shift.

Describe How the Graph of the Given Function Can Be f(x)=2−3xx−4f ( x ) = \frac { 2 - 3 x } { x - 4 }f(x)=x−42−3x​

Describe How the Graph of the Given Function Can Be $f ( x ) = \frac { 2 - 3 x } { x - 4 }$