Sketech the graph of the equation y^2+4y+2x+10=0. Identify the vertex, the focus and the equation for the directrix. Use the completing the square to put the equation into standard form as your first step.
This is what I did.
y^2 + 4y = -2x-10
y^2 + 4y + 4 = -2x-6
(y+2)^2= -2(x+3)
vertex: (-3, -2)
Focus: (-3.5, -2)
Directrix: -2.5