Answer
See graph and explanations.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/636b63eb-9515-4d70-8e72-f6f98192cfd9/result_image/1581360037.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000240Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=e339b0d21c75b3faf50098591a0e7942baa08131fa8addced9ab5d66980c6079)
Work Step by Step
Step 1. Graph the function $f(x)=|x|$, shown as the blue curve in the figure.
Step 2. To obtain the graph of function $h(x)=-|x-1|+1$, shift the original horizontally 1 unit to the right, reflect the result around the x-axis, and then shift the result vertically 1 unit up, shown as the red curve in the figure.