An Equation of a Parabola Is Given $$y ^ { 2 } + 16 x - 4 y + 52 = 0$$

question 124

Multiple Choice

An equation of a parabola is given. Write the equation of the parabola in standard form, and identify the
vertex and the equation of the directrix.
- $$y ^ { 2 } + 16 x - 4 y + 52 = 0$$

• A) \(( y + 2 ) ^ { 2 } = - 16 ( x - 3 )\)
• vertex: \(( - 3,2 )\); focus: \(( 7,2 )\)
• B) \(( y + 2 ) ^ { 2 } = - 16 ( x - 3 )\)
• vertex: \(( 3 , - 2 )\); focus: \(( 7 , - 2 )\)
• C) \(( y - 2 ) ^ { 2 } = - 16 ( x + 3 )\)
• vertex: \(( - 3,2 )\); focus: \(( - 7,2 )\)
• D) \(( y - 2 ) ^ { 2 } = - 16 ( x + 3 )\)
• vertex: \(( 3 , - 2 )\); focus: \(( - 7 , - 2 )\)

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