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

Question

Quizplus · Accepted Answer

The graph of $f(x) = -\frac{1}{x} - 9$ can be obtained from $y = \frac{1}{x}$ by first reflecting it across the x-axis (to get $-\frac{1}{x}$) and then shifting it 9 units down (to add the $-9$).