Identify the Type of Graph $- x ^ { 2 } - 6 x + 5 y ^ { 2 } + 10 y = 25$

question 141

Multiple Choice

Identify the type of graph.
$- x ^ { 2 } - 6 x + 5 y ^ { 2 } + 10 y = 25$

• A) The graph is a circle with center \(\left( \frac { 5 } { 9 } , - \frac { 2 } { 3 } \right)\)
• B) The graph is a hyperbola opening to the right and left.
• C) The equation has no graph.
• D) The graph is an ellipse with center \(\left( - \frac { 5 } { 9 } , \frac { 2 } { 3 } \right)\)

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Definitions:

Collective Movement

A group action taken towards achieving a common goal, often used in the context of social or political activism.

Social Movement

A collective, organized effort by a large group of people to achieve a particular goal, typically aimed at social change or resisting social change.

Deindividuation

A psychological state occurring in group contexts that leads to reduced self-awareness and diminished social identity, often resulting in uninhibited or deviant behavior.

Zimbardo

A psychologist known for his research on social roles and conformity, particularly the Stanford prison experiment which examined the effects of perceived power and authority in a simulated prison setting.