Question 2027
 At least you should know how to type square correctly.

 y =-(x+2)^2/4-1 is equivalent to

 y+1 = -(x+2)^2/4 , 

 Since -(x+2)^2/4 <= 0, y +1 <= 0 or y <= -1 for all x.

 This parabola concaves downward(so it is open downward.)
 Its vertex is (-2,-1).
 
 Since y+1 = -(x+2)^2/4 = -4/16 (x+2)^2 = -4a(x+2)^2, a = 1/16.
 Focus: (-2 ,-1- 1/16) = (-2,-17/16)
 Axis of Symmetry: x+2 = 0
 Directrix: y= -1+ 1/16= -5/16

 The graph as below:

 {{{ graph( 300, 200, -5, 3, -5, 1, -1-(x+2)^2/4, -5/16 )}}}
 

 Kenny