Write the Given Equation in the Form $( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$

question 279

Multiple Choice

Write the given equation in the form $( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$ . Identify the center and radius.
- $$x ^ { 2 } + y ^ { 2 } + 16 x + 8 y - 20 = 0$$

• A) \(( x + 16 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 20\)
• Center: \(( 16,8 ) ; r = 20\)
• B) \(( x + 16 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 20\)
• Center: \(( - 16 , - 8 ) ; r = 20\)
• C) \(( x + 8 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 100\)
• Center: \(( - 8 , - 4 ) ; r = 10\)
• D) \(( x + 8 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 100\)
• Center: \(( 8,4 ) ; r = 10\)

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