Base function: $\displaystyle f(x)=x^2$

Transformed Function: $\displaystyle g(x)=-2(1/2(x+4))^2 -1$

Is this the correct order for the transformations needed to get from the base to the transformed?

Vertical stretch by 2

Horizontal stretch by 2

Reflection in x axis

Phase shift left 4

Vertical Translation down 1

If i is not, please fix it.