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

question 195

Multiple Choice

Find the vertex, focus, and directrix of the parabola with the given equation.
- $$( x + 1 ) ^ { 2 } = 12 ( y - 4 )$$

• A) vertex: \(( 1 , - 4 )\)
• focus: \(( 1 , - 1 )\)
• \(\text { directrix: } y=-7\)
• B) vertex: \(( 4 , - 1 )\)
• focus: \(( 4,2 )\)
• \(\text { directrix: } y=-7\)
• C) vertex: \(( - 1,4 )\)
• focus: \(( - 1,1 )\)
• \(\text { directrix: } y=-7\)
• D) vertex: \(( - 1,4 )\)
• focus: \(( - 1,7 )\)
• \(\text { directrix: } y=-7\)

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Definitions:

Obesity

A medical condition characterized by excessive body fat that presents a risk to health.

Lean Body Mass

The mass of the body minus the fat content; it includes muscles, bones, organs, and water.

Anorexia Nervosa

A psychological eating disorder characterized by an extreme fear of gaining weight, leading to severe restriction of food intake and malnourishment.

Amenorrhea

is a medical condition characterized by the absence of menstruation in someone of reproductive age, which can be caused by a variety of factors.