Use technology to find points and then graph the function \( y=(x-1)^{2} \), following the instructions below.

To graph the function \( y=(x-1)^{2} \), you can create a table of values by choosing various \( x \)-coordinates. For example, if you pick \( x = -1, 0, 1, 2, 3 \), you will find the corresponding \( y \)-values: at \( x = -1 \), \( y = 4 \); at \( x = 0 \), \( y = 1 \); at \( x = 1 \), \( y = 0 \); at \( x = 2 \), \( y = 1 \); and at \( x = 3 \), \( y = 4 \). Plot these points on a coordinate plane, and you'll see a lovely U-shaped parabola that opens upwards. To ensure your graph is as accurate as possible, remember to check for common mistakes. A frequent error occurs when forgetting that the vertex of this parabola is at the point \( (1, 0) \). This vertex is the lowest point since the parabola opens upwards. Make sure to plot the vertex first and accurately reflect the symmetry of the parabola on either side!