Final answer:
To sketch the graph of y=|x-3|-1, we can identify key points and plot the equations for different values of x-3.
Step-by-step explanation:
To sketch the graph of the function y=|x-3|-1, we can start by identifying key points on the graph.
1. When x-3>=0, the absolute value of x-3 is simply x-3. In this case, the equation becomes y=(x-3)-1.
2. When x-3<0, the absolute value of x-3 is -(x-3), which means we flip the sign inside the absolute value. In this case, the equation becomes y=-(x-3)-1.
We can then plot these equations on a graph and connect the points to get the final sketch.