Find an Equation for the Conic Whose Graph Is Shown $\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 25 } = 1$

question 44

Multiple Choice

Find an equation for the conic whose graph is shown.

• A) \(\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 25 } = 1\)
• B) \(\frac { y ^ { 2 } } { 25 } - \frac { x ^ { 2 } } { 16 } = 1\)
• C) \(\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 16 } = 1\)
• D) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 25 } = 1\)
• E) \(9 y ^ { 2 } - \frac { x ^ { 2 } } { 16 } = 1\)

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Definitions:

Reactance

A motivational reaction to restrictions on personal freedom, manifesting in an urge to regain that freedom.

Accomplice Behavior

The actions taken by an individual who helps another to commit a crime or wrongful act.

Experimental Realism

The extent to which the conditions of an experiment mimic the real-world scenarios they aim to replicate or study, affecting the validity of the outcomes.

Reactance

A motivational reaction to offers, persons, rules, or regulations that threaten or eliminate specific behavioral freedoms.