$$\text { How can the graph of } f ( x ) = \frac { 1 } { x - 9 } + 6 \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? }$$

question 351

Multiple Choice

$$\text { How can the graph of } f ( x ) = \frac { 1 } { x - 9 } + 6 \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? }$$

• A) By making a horizontal shift of 6 units to the right and a vertical shift of 9 units up
• B) By making a horizontal shift of 6 units to the left and a vertical shift of 9 units down
• C) By making a horizontal shift of 9 units to the left and a vertical shift of 6 units up
• D) By making a horizontal shift of 9 units to the right and a vertical shift of 6 units up

---

Definitions:

Freedom

The state of being free or at liberty rather than in confinement or under physical restraint; often includes the power to act, speak, or think without externally imposed restraints.

Detachment

describes a state of emotional disengagement or neutrality, often used as a coping mechanism to maintain objectivity or reduce personal bias.

Exploration

The act of searching for the purpose of discovery of information or resources.

Exploitation

The act of using someone or something unfairly for one's own advantage, often disregarding their wellbeing.