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

question 85

Multiple Choice

Find the vertex, focus, and directrix of the parabola with the given equation.
- $$( x - 4 ) ^ { 2 } = - 20 ( y + 3 )$$

• A) vertex: \(( 4 , - 3 )\)
• focus: \(( 4 , - 8 )\)
• directrix: \(y = 2\)
• B) vertex: \(( - 4,3 )\)
• focus: \(( - 4 , - 2 )\)
• directrix: \(y = 8\)
• C) vertex: \(( 4 , - 3 )\)
• focus: \(( 4,2 )\)
• directrix: \(x = - 8\)
• D) vertex: \(( - 3,4 )\)
• focus: \(( - 3 , - 1 )\)
• directrix: \(y = 9\)

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Definitions:

Diagnostic Criteria

Specific standards and guidelines used by healthcare professionals to identify and categorize mental health and physical conditions.

Depression

A mental health disorder characterized by persistently depressed mood or loss of interest in activities, causing significant impairment in daily life.

Appetite Changes

Variations in a person's desire to eat, which can be influenced by emotional states, health conditions, or dietary habits.

Fatigue

A state of extreme tiredness or exhaustion, resulting from mental or physical exertion or illness.