An Equation of a Parabola Is Given $$y ^ { 2 } - 8 y - 12 x - 8 = 0$$

question 62

Multiple Choice

An equation of a parabola is given. Write the equation of the parabola in standard form, and identify the
vertex and the focal diameter.
- $$y ^ { 2 } - 8 y - 12 x - 8 = 0$$

• A) \(( y - 4 ) ^ { 2 } = 12 ( x + 2 )\)
• vertex: \(( - 2,4 )\); focal diameter: 12
• B) \(( y + 4 ) ^ { 2 } = 12 ( x - 2 )\)
• vertex: \(( - 4,2 )\); focal diameter: 6
• C) \(( y - 4 ) ^ { 2 } = 12 ( x + 2 )\)
• vertex: \(( - 2,4 )\); focal diameter: 6
• D) \(( y + 4 ) ^ { 2 } = 12 ( x - 2 )\)
• vertex: \(( - 4,2 )\); focal diameter: 12

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