Graph the Hyperbola $$\frac { ( x + 5 ) ^ { 2 } } { 64 } - \frac { ( y + 1 ) ^ { 2 } } { 36 } = 1$$

question 48

Multiple Choice

Graph the hyperbola. Identify the foci and write the equations for the asymptotes.
- $$\frac { ( x + 5 ) ^ { 2 } } { 64 } - \frac { ( y + 1 ) ^ { 2 } } { 36 } = 1$$

• A) foci: \(( - 13 , - 1 ) , ( 3 , - 1 )\); asymptotes: \[y = - \frac { 3 } { 4 } x + \frac { 11 } { 4 } , y = \frac { 3 } { 4 } x - \frac { 19 } { 4 }\]
• B) foci: \(( - 5 , - 11 ) , ( - 5,9 )\); asymptotes: \[y = - \frac { 3 } { 4 } x - \frac { 19 } { 4 } , y = \frac { 3 } { 4 } x + \frac { 11 } { 4 }\]
• C) foci: \(( - 15 , - 1 ) , ( 5 , - 1 )\); asymptotes: \(y = - \frac { 3 } { 4 } x - \frac { 19 } { 4 } , y = \frac { 3 } { 4 } x + \frac { 11 } { 4 }\)
• D) foci: \(( - 5 , - 9 ) , ( - 5,7 )\); asymptotes: \(y = - \frac { 3 } { 4 } x + \frac { 11 } { 4 } , y = \frac { 3 } { 4 } x - \frac { 19 } { 4 }\)

Understand the concept of moral obligations being independent of personal desires.

Define and comprehend the role and nature of maxims in moral philosophy.

Identify the importance of motive and the categorical imperative in moral actions.

Explain the relationship between morality, duty, and rationality in Kant's philosophy.

---

Definitions:

Unfit To Stand Trial

A legal determination that a person is unable to participate in the court proceedings because of mental incapacity or illness.

Assessment

A procedure in which information is gathered systematically in the evaluation of a condition; it serves as the preliminary to a diagnosis. A psychiatric assessment may include interviews with the patient or the patient’s family, medical testing, psychophysiological or psychological testing, and the completion of self-report scales or other report rating scales.

Insanity Defence

A legal defense by an accused person claiming that they should not be held legally responsible for their actions due to episodic or persistent psychiatric diseases at the time of criminal act.

Evolution

The process by which different kinds of living organisms are thought to have developed and diversified from earlier forms during the history of the earth.