Find the Vertex,focus,and Directrix of the Parabola $( x + 5 ) ^ { 2 } = 4 \left( y - \frac { 5 } { 2 } \right)$

question 98

Multiple Choice

Find the vertex,focus,and directrix of the parabola.​ $( x + 5 ) ^ { 2 } = 4 \left( y - \frac { 5 } { 2 } \right)$ ​

• A)Vertex: \(\left( - 5 , \frac { 5 } { 2 } \right)\) ;Focus: \(\left( - 5 , \frac { 7 } { 2 } \right)\) ;Directrix: \(y = \frac { 3 } { 2 }\)
• B)Vertex: \(\left( \frac { 5 } { 2 } , - 5 \right)\) ;Focus: \(\left( - 5 , \frac { 3 } { 2 } \right)\) ;Directrix: \(y = \frac { 3 } { 2 }\)
• C)Vertex: \(\left( \frac { 5 } { 2 } , - 5 \right)\) ;Focus: \(\left( - 5 , \frac { 7 } { 2 } \right)\) ;Directrix: \(y = \frac { 3 } { 2 }\)
• D)Vertex: \(\left( - 5 , \frac { 5 } { 2 } \right)\) ;Focus: \(\left( - 5 , \frac { 3 } { 2 } \right)\) ;Directrix: \(y = \frac { 7 } { 2 }\)
• E)Vertex: \(( 0,0 )\) ;Focus: \(\left( - 5 , \frac { 7 } { 2 } \right)\) ;Directrix: \(y = \frac { 7 } { 2 }\)

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