Find the vertex, focus, and directrix of the parabola. $$( x + 5 ) ^ { 2 } = 4 \left( y - \frac { 5 } { 2 } \right)$$
A)
Vertex: $\left( \frac { 5 } { 2 } , - 5 \right) ;$ Focus: $\left( - 5 , \frac { 7 } { 2 } \right) ;$ Directrix: $y = \frac { 3 } { 2 }$
B) Vertex: $\left( - 5 , \frac { 5 } { 2 } \right) ;$ Focus: $\left( - 5 , \frac { 3 } { 2 } \right) ;$ Directrix: $y = \frac { 7 } { 2 }$
C) Vertex: $\left( \frac { 5 } { 2 } , - 5 \right) ;$ Focus: $\left( - 5 , \frac { 3 } { 2 } \right) ;$ Directrix: $y = \frac { 3 } { 2 }$
D) Vertex: $\left( - 5 , \frac { 5 } { 2 } \right) ;$ Focus: $\left( - 5 , \frac { 7 } { 2 } \right) ;$ Directrix: $y = \frac { 3 } { 2 }$
E) Vertex: $( 0,0 )$; Focus: $\left( - 5 , \frac { 7 } { 2 } \right) ;$ Directrix: $y = \frac { 7 } { 2 }$

Question

Find the vertex, focus, and directrix of the parabola. $$( x + 5 ) ^ { 2 } = 4 \left( y - \frac { 5 } { 2 } \right)$$ 
A)
Vertex: $\left( \frac { 5 } { 2 } , - 5 \right) ;$ Focus: $\left( - 5 , \frac { 7 } { 2 } \right) ;$ Directrix: $y = \frac { 3 } { 2 }$
B) Vertex: $\left( - 5 , \frac { 5 } { 2 } \right) ;$ Focus: $\left( - 5 , \frac { 3 } { 2 } \right) ;$ Directrix: $y = \frac { 7 } { 2 }$
C) Vertex: $\left( \frac { 5 } { 2 } , - 5 \right) ;$ Focus: $\left( - 5 , \frac { 3 } { 2 } \right) ;$ Directrix: $y = \frac { 3 } { 2 }$ 
D) Vertex: $\left( - 5 , \frac { 5 } { 2 } \right) ;$ Focus: $\left( - 5 , \frac { 7 } { 2 } \right) ;$ Directrix: $y = \frac { 3 } { 2 }$
E) Vertex: $( 0,0 )$; Focus: $\left( - 5 , \frac { 7 } { 2 } \right) ;$ Directrix: $y = \frac { 7 } { 2 }$

Quizplus · Accepted Answer

The Answer of Find the vertex, focus, and directrix of the parabola. $$( x + 5 ) ^ { 2 } = 4 \left( y - \frac { 5 } { 2 } \right)$$ 
A)
Vertex: $\left( \frac { 5 } { 2 } , - 5 \right) ;$ Focus: $\left( - 5 , \frac { 7 } { 2 } \right) ;$ Directrix: $y = \frac { 3 } { 2 }$
B) Vertex: $\left( - 5 , \frac { 5 } { 2 } \right) ;$ Focus: $\left( - 5 , \frac { 3 } { 2 } \right) ;$ Directrix: $y = \frac { 7 } { 2 }$
C) Vertex: $\left( \frac { 5 } { 2 } , - 5 \right) ;$ Focus: $\left( - 5 , \frac { 3 } { 2 } \right) ;$ Directrix: $y = \frac { 3 } { 2 }$ 
D) Vertex: $\left( - 5 , \frac { 5 } { 2 } \right) ;$ Focus: $\left( - 5 , \frac { 7 } { 2 } \right) ;$ Directrix: $y = \frac { 3 } { 2 }$
E) Vertex: $( 0,0 )$; Focus: $\left( - 5 , \frac { 7 } { 2 } \right) ;$ Directrix: $y = \frac { 7 } { 2 }$

Find the Vertex, Focus, and Directrix of the Parabola (x+5)2=4(y−52)( x + 5 ) ^ { 2 } = 4 \left( y - \frac { 5 } { 2 } \right)(x+5)2=4(y−25​)

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