Answer
g(x)=-(x+4)$^2$
Work Step by Step
First f(x) is horizontally shifted 4 units to the left so we must add 4 to x to get g(x)=(x+4)$^2$. Then f(x) is reflected across the x-axis so we must multiply the function by -1 to get g(x)=-(x+4)$^2$
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