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

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: $y = \frac { 7 } { 2 }$