We are asked to write the absolute value functiony=-3∣x+6∣ as a piecewise function. Let's start by recalling that how we write the vertex form of an absolute value function, g(x)=a∣x−h∣+k, as a piecewise function.
g(x)={a(-(x−h))+k,ifx−h<0a(x−h)+k,ifx−h≥0
Using this, let's identify the values for our function.
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