Find the Vertex and Axis of Symmetry of the Graph $$f ( x ) = - 8 x ^ { 2 } - 2 x - 4$$

question 300

Multiple Choice

Find the vertex and axis of symmetry of the graph of the function.
- $$f ( x ) = - 8 x ^ { 2 } - 2 x - 4$$

• A) \(\left( - 8 , - \frac { 31 } { 8 } \right) ; x = - 8\)
• B) \(\left( \frac { 1 } { 8 } , \frac { 31 } { 8 } \right) ; x = \frac { 1 } { 8 }\)
• C) \(( 8 , - 4 ) ; x = 8\)
• D) \(\left( - \frac { 1 } { 8 } , - \frac { 31 } { 8 } \right) ; x = - \frac { 1 } { 8 }\)

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Definitions:

General Adaptation Syndrome

A theoretical framework describing the body's short-term and long-term reactions to stress, comprising stages of alarm, resistance, and exhaustion.

Alarm Reaction

The initial stage of the General Adaptation Syndrome, characterized by the body's immediate physical response to a perceived stressor.

Sympathetic Nervous System

Part of the autonomic nervous system that prepares the body for quick response to stress by accelerating the heart rate and increasing blood pressure, among other functions.

Adrenal Medulla

The inner part of the adrenal glands that secretes adrenaline and noradrenaline, involved in the body's fight-or-flight response.