Answer the question
-$$\text { How can the graph of } f ( x ) = - \frac { 4 } { x } \text { be obtained from the graph of } y = \frac { 1 } { x } ?$$
A) By reflecting across the y-axis and shrinking vertically by a factor of 4
B) By making a horizontal shift of 4 units down
C) By reflecting across the x-axis and stretching vertically by a factor of 4
D) By reflecting across the x-axis and stretching horizontally by a factor of 4

Question

Quizplus · Accepted Answer

The graph of $f(x) = -\frac{4}{x}$ can be obtained from the graph of $y = \frac{1}{x}$ by first reflecting it across the x-axis (due to the negative sign) and then stretching it vertically by a factor of 4 (due to the multiplication by 4).

Answer the Question - How can the graph of f(x)=−4x be obtained from the graph of y=1x?\text { How can the graph of } f ( x ) = - \frac { 4 } { x } \text { be obtained from the graph of } y = \frac { 1 } { x } ? How can the graph of f(x)=−x4​ be obtained from the graph of y=x1​?

Answer the Question
- $\text { How can the graph of } f ( x ) = - \frac { 4 } { x } \text { be obtained from the graph of } y = \frac { 1 } { x } ?$