Hi

Using the vertex form of a parabola,  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



 

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