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Let $f(x)=\left(x-2\right)^2$ and $g(x)=-x^2$.
Which of the following transformations have been applied to $f(x)$ in order to obtain $g(x)$?
Shifted right $2$ units
Shifted left $2$ units
Shifted up $2$ units
Shifted down $2$ units
Vertically stretched by a factor of $2$
Vertically compressed by a factor of $2$