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 

 

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