Find the Vertex, the Focus, and the Directrix of the Parabola

question 149

Multiple Choice

Find the vertex, the focus, and the directrix of the parabola.
- $$y ^ { 2 } + 4 x + 8 y + 20 = 0$$

• A) Vertex: \(( - 1 , - 4 )\); Focus: \(( - 2 , - 4 )\); Directrix: \(x = 0\)
• B) Vertex: \(\left( - \frac { 1 } { 2 } , - 1 \right)\); Focus: \(( 0 , - 1 )\); Directrix: \(y = - 2\)
• C) Vertex: \(( - 2 , - 4 )\); Focus: \(\left( - \frac { 5 } { 4 } , - 4 \right)\); Directrix: \(y = - \frac { 3 } { 4 }\)
• D) Vertex: \(( - 3 , - 1 )\); Focus: \(( - 5 , - 1 )\); Directrix: \(y = - 3\)