Find the Vertex, Focus, and Directrix of the Parabola with the Given

question 16

Multiple Choice

Find the vertex, focus, and directrix of the parabola with the given equation.
- $x - 1 ) ^ { 2 } = 8 ( y + 3 )$

• A) vertex: \(( - 3,1 )\)
• focus: \(( - 3,3 )\)
• directrix: \(y = - 1\)
• B) vertex: \(( 1 , - 3 )\)
• focus: \(( 1 , - 1 )\)
• directrix: \(y = - 5\)
• C) vertex: \(( - 1,3 )\)
• focus: \(( - 1,5 )\)
• directrix: \(y = 1\)
• D) vertex: \(( 1 , - 3 )\)
• focus: \(( 1 , - 5 )\)
• directrix: \(x = - 1\)

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Definitions:

Amygdala

A section of the brain's limbic system involved in emotion, survival instincts, and memory.

Frontal Cortex

The front part of the cerebral cortex involved in decision making, problem-solving, control of purposeful behaviors, consciousness, and emotional responses.

Self-Actualization

The realization or fulfillment of one's talents and potentialities, often considered as the highest need in Maslow's hierarchy of needs.

Humanistic

Pertaining to a psychological perspective that emphasizes individual growth, self-actualization, and the understanding of human behavior by considering the whole person.