Answer
See the graph
![](https://gradesaver.s3.amazonaws.com/uploads/solution/05d8b85b-bf46-40c3-aec9-451dafa1063c/result_image/1598886206.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000552Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=8d0a7e65196148e11cac82b6fbc2ac9b4a358ad2f76230ea2ed7ab42af8edcd5)
Work Step by Step
$y=-|4(x+1)|$
$\rightarrow y=-|4x+4|$
The vertex is $(1,0)$.
Make a list of values:
$x=0 \rightarrow y=-4$
$x=\frac{1}{2} \rightarrow y=-2$
$x=\frac{3}{2} \rightarrow y=-2$
$x=2 \rightarrow y=-4$
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