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

question 48

Multiple Choice

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

• A) vertex: \(( - 2,4 )\)
• focus: \(( - 5,4 )\)
• directrix: \(x = 1\)
• B) vertex: \(( 2 , - 4 )\)
• focus: \(( 5 , - 4 )\)
• directrix: \(x = - 1\)
• C) vertex: \(( 4 , - 2 )\)
• focus: \(( 7 , - 2 )\)
• directrix: \(x = 1\)
• D) vertex: \(( - 2,4 )\)
• focus: \(( 1,4 )\)
• directrix: \(x = - 5\)

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