Question 435260
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b>
Hi
Using the vertex form of a parabola, {{{y=a(x-h)^2 +k}}} where(h,k) is the vertex
f(x)=x^2 (green)
step1: equaton for the graph that has been flipped over the x-axis. f(x)= -x^2 (blue)
step2:  equation for the graph that has also been shifted down 4 units. 
            f(x) = -x^2-4 (Purple)
step3:  f(x) = -(x+1)^2-4 (Yellow) shifted 1 unit to the left
{{{drawing(300,300,   -6, 6, -6, 6, grid(1),
circle(-1, -4,0.3),
graph( 300, 300, -6, 6, -6, 6,0,x^2,-x^2, -x^2-4,-(x+1)^2-4))}}}