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Hi
vertex form of a parabola,
where(h,k) is the vertex
f(x)=-2x^2-4x-3
f(x)=-2[x^2+2x + 3/2]
f(x)=-2[x^2+2x +1 -1 +3/2]
f(x)=-2[(x+1)^2 -1 +3/2]
f(x)=-2(x+1)^2 -2( -1 +3/2)
f(x)=-2(x+1)^2 + 2 - 3
f(x)=-2(x+1)^2 -1
(-1, -1) is the vertex