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

question 87

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: \(y = \frac { 7 } { 2 }\)